nldlab - User contributions [en]

Main Page

2012-12-17T19:14:19Z

Alexandros:

[[File: Howey_Building.jpg | thumb | Howey building. School of Physics, Georgia Tech]]

'''This is the wiki page associated with Physics 4268/6268 Nonlinear Dynamics & Chaos.''' Physics 4268/6268 is an undergraduate and graduate level nonlinear dynamics course taught by [http://crablab.gatech.edu/ Professor Daniel I. Goldman] in the [http://www.physics.gatech.edu School of Physics] at the [http://www.gatech.edu Georgia Institute of Technology]. The TAs are [http://www.physics.gatech.edu/~ngravish3/index.html Nick Gravish] and Feifei Qian. Wiki is maintained by [http://www.physics.gatech.edu/~ngravish3/index.html Nick Gravish]. The course is comprised of both a classroom component and a laboratory component. In the laboratory component student led groups will perform a nonlinear dynamics experiment and report their findings. Students thus develop intuition for nonlinear dynamics both on paper and in a hands-on laboratory environment.

'''The goal of this wiki is for students to interactively develop and compile a library of experiments that illustrate fundamental principles of nonlinear dynamics for further educational use.'''

== Site information ==

On this site you will find all content related to the student led nonlinear dynamics experiments. Announcements for the '''2012''' course can be found below. In addition all materials from previous years have been posted so that students may see examples of previous project wiki pages, papers, and presentations.

Each group is given access a project page in which they will edit and add content to a wikipedia styled entry detailing the experiment being performed. The page should include a brief summary of the experiment and the relevant scientific questions followed by a more comprehensive explanation of the theoretical and experimental details. Pages should contain references to outside information via journal or book citations, and external web pages. Once the lab has been completed the page should be edited to include information on experimental analysis, results, and a conclusion. Sample pages from previous years serve as useful references.

== Final papers / presentations 2012 ==

'''Congratulations to all the students!''' [[Pictures_2012 | Pictures and Videos]] from the semester have been uploaded as well as the final presentations and papers which can be found below.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Project
! Files
|-
|[[Group_1_2012 | Duffing Oscilaltor]]
|[[Media: Duffingfinal.pdf | Presentation]]. '''Papers:''' [[Media: DuffingChampion.pdf | Andrew]], [[Media: Lodhi_finalProject.pdf | Aemen]], [[Media: DuffingGranowski.pdf | Ross]]
|-
| [[Group_2_2012 | Firefly Synchronization]]
| [[Media: Firefly_Final_Presentation.pdf| Presentation]]. '''Papers:''' [[Media: Morris Huang.pdf‎ | Morris]], [[Media: Mark Kingsbury.pdf | Mark]], [[Media: McInroe Final Paper.pdf | Ben]], [[Media: Wagstaff Project.pdf | Will]]
|-
| [[Group_3_2012 | Chua's Circuit]]
| [[Media: Experimental Characterizing of Nonlinear dynamics of Chua’s circuit.pdf | Presentation]]. '''Papers:''' [[Media: Patrick Chang-final paper.pdf | Patrick]], [[Media: CoyleGroup2Chua.pdf | Edward]], [[Media: Parker Report.pdf | John]], [[Media: Majid Paper.pdf | Majid]]
|-
| [[Group_4_2012 | Cricket Synchronization]]
| [[Media: Cricket Presentation.pdf | Main presentation]], [[Media: Charlie_Presentation.pdf | Presentation on pseudo-synchronization leading the pack]]. '''Papers:''' [[Media: Blythe report.pdf | Justin]], [[Media: Charlie Report.pdf | Charlie]], [[Media: Yuxuan Report.pdf | Yuxuan]]
|}

== Announcements: Fall 2012 ==

* Student groups will be posted shortly. Projects suggestions will be made in class 9/11/2012
* The room Howey S204 has been reserved for student groups to meet and discuss the following hours and dates:
** Mondays from Oct 22 - Dec 3 from 10am to 12pm
** Tuesdays and Thursdays from 11am to 12pm
** Wednesdays from Oct 31 - Dec 5 from 10am to 12pm
** Fridays from 3pm to 5 pm

== Final papers / presentations 2011 ==

'''Congratulations to all the students, the final papers and presentations were universally excellent!''' [[Pictures_2011 | Pictures]] from the semester have been uploaded as well as the final presentations and papers which can be found below.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Project
! Files
|-
|[[Group_1 | Faraday waves]]
|[[Media: ProjectFaraday2.pdf | Main presentation]], [[Media:Corn_Starch_Slides.pdf | Non-newtonian presentation]]. '''Papers:''' [[Media: PaulCardenasLizana.pdf‎ | Paul]], [[Media: Orphee_Juan_Faraday.pdf | Juan]]
|-
| [[Group_2 | Plinko dynamics]]
| [[Media: Plinko_Compressed.pdf| Presentation]]. '''Papers:''' [[Media: Mass_Andrew.pdf | Andrew]], [[Media: Hardin_Charles_-_Group_2_-_6268_Final_Paper.pdf | Andrew]], [[Media: Cordell_Group2_Phys6268.pdf | Chris]]
|-
| [[ Group_3 | Inelastic bouncing ball]]
| [[Media: NLD_Presentation_Official_Final_Final_For_Real.pdf | Presentation]]. '''Papers:''' [[Media: Arora_Nitin_Paper_nitin.pdf | Nitin]], [[Media: Gray_Phillip.pdf | Phillip]], [[Media: Yunis_Jacob_6268_final.pdf | Jacob]], [[Media: Rodesneyinelastic_ball.pdf | Chris]]
|-
| [[Group_4 | Synchronization]]
| [[Media: Group4_Metronomes_Talk.pdf | Presentation]]. '''Papers:''' [[Media: Levenfeld_Vlad.pdf | Vlad]], [[Media: Jover_finalpaper_metronomes_jover.pdf | Luis]], [[Media: Taylor_Bradford.pdf | Brad]], [[Media: Tithof_Metronomes.pdf | Jeff]]
|-
| [[Group_5 | Chaotic faucet]]
| [[Media: PHYS6268 Group5 Presentation.pdf | Presentation]]. '''Papers:''' [[Media: Patel_Ricky_PHYS6268.pdf | Ricky ]], [[Media: Royer_Caleb_PHYS6268_Royer_FinalPaper.pdf | Caleb ]], [[Media: Job_Josh_ChaoticFaucetfinal.pdf | Joshua ]], [[Media: Pritchard_Peter_Phys6268_Final_Paper.pdf | Nick ]]
|-
| [[Group_6 | Ferrofluid]]
| [[Media: Presentation.pdf | Presentation]]. '''Papers:''' [[Media: Schoenwald_Group6_Final.pdf | Kipp]], [[Media: Potter_Ferrofluids_-_Potter.pdf | Daniel]], [[Media: Hamid,_Amir_Ferrofluid_Group_6.pdf | Amir]]
|-
| [[Group_7 | Inverted pendulum]]
| [[Media: The_Inverted_Pendulum.pdf | Presentation]]. '''Papers:''' [[Media: Marcotte_Dynamic_Stabilization_of_the_Inverted_Pendulum.pdf | Chris]], [[Media: Aguilar_Jeff_PendulumPaper.pdf | Jeff]], [[Media: LeeGustavo_Inverted_Pendulum_Final_Report_.pdf | Gustavo]], [[Media: Suri_Balachandra_NLD_final.pdf | Balachandra]]
|}

== Announcements: Fall 2011 ==

* Below is a list of the assigned dates for groups to work in the lab. If any groups have conflicts with the dates listed please email [mailto:nick.gravish@gmail.com me] immediately to resolve this.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Date range
! Groups
|-
| 10/24 - 10/28
| Inverted pendulum ([[Group 7]])
|-
| 10/31 - 11/4
| Inelastic bouncing ball ([[Group 3]]) and dripping faucet ([[Group 5]])
|-
| 11/7 - 11/11
| Synchronization ([[Group 4]]) and Ferrofluid ([[Group 6]])
|-
| 11/14 - 11/18
| Faraday waves ([[Group 1]]) and Plinko dynamics ([[Group 2]])
|-
| 11/28 - 12/2
| Presentations beginning Thursday
|-
| 12/5 - 12/9
| Presentations
|}

* Information about the final presentations and paper can now be found on the [[Final]] page.
* Lab dates have been posted 10/19/11
* Added capability to embed youtube videos. Use the following code to embed <pre><videoflash>YouTubeFileName</videoflash></pre>
* Math rendering has been added using the [http://www.mathjax.org/ MathJax] program. This renders latex code typed into the page source and allows for copy/paste, scaling, and other features. For a Latex tutorial check [http://en.wikibooks.org/wiki/LaTeX/Mathematics here].
* Groups are only able to edit the page associated with their group.
* When you receive your group login and password you should change your password for security.
* For questions about this site email [mailto:nick.gravish@gmail.com Nick Gravish]

== About this wiki ==

See the [[About]] page for more information. This Wiki is open to the public to view but not to edit. However, we gladly make content available to other schools for non-profit educational use. Some links to copyright-protected references and software are not available to anyone without authentication as a Georgia Tech student or staff.

== Wiki 101 ==

Here is a link to mediawiki [http://en.wikipedia.org/wiki/Wikipedia:Cheatsheet cheatsheet].

Main Page

2012-12-17T16:29:38Z

Alexandros:

[[File: Howey_Building.jpg | thumb | Howey building. School of Physics, Georgia Tech]]

'''This is the wiki page associated with Physics 4268/6268 Nonlinear Dynamics & Chaos.''' Physics 4268/6268 is an undergraduate and graduate level nonlinear dynamics course taught by [http://crablab.gatech.edu/ Professor Daniel I. Goldman] in the [http://www.physics.gatech.edu School of Physics] at the [http://www.gatech.edu Georgia Institute of Technology]. The TAs are [http://www.physics.gatech.edu/~ngravish3/index.html Nick Gravish] and Feifei Qian. Wiki is maintained by [http://www.physics.gatech.edu/~ngravish3/index.html Nick Gravish]. The course is comprised of both a classroom component and a laboratory component. In the laboratory component student led groups will perform a nonlinear dynamics experiment and report their findings. Students thus develop intuition for nonlinear dynamics both on paper and in a hands-on laboratory environment.

'''The goal of this wiki is for students to interactively develop and compile a library of experiments that illustrate fundamental principles of nonlinear dynamics for further educational use.'''

== Site information ==

On this site you will find all content related to the student led nonlinear dynamics experiments. Announcements for the '''2012''' course can be found below. In addition all materials from previous years have been posted so that students may see examples of previous project wiki pages, papers, and presentations.

Each group is given access a project page in which they will edit and add content to a wikipedia styled entry detailing the experiment being performed. The page should include a brief summary of the experiment and the relevant scientific questions followed by a more comprehensive explanation of the theoretical and experimental details. Pages should contain references to outside information via journal or book citations, and external web pages. Once the lab has been completed the page should be edited to include information on experimental analysis, results, and a conclusion. Sample pages from previous years serve as useful references.

== Final papers / presentations 2012 ==

'''Congratulations to all the students!''' [[Pictures_2012 | Pictures and Videos]] from the semester have been uploaded as well as the final presentations and papers which can be found below.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Project
! Files
|-
|[[Group_1_2012 | Duffing Oscilaltor]]
|[[Media: Duffingfinal.pdf | Presentation]]. '''Papers:''' [[Media: DuffingChampion.pdf | Andrew]], [[Media: Lodhi_finalProject.pdf | Aemen]], [[Media: DuffingGranowski.pdf | Ross]]
|-
| [[Group_2_2012 | Firefly Synchrnization]]
| [[Media: Firefly_Final_Presentation.pdf| Presentation]]. '''Papers:''' [[Media: Morris Huang.pdf‎ | Morris]], [[Media: Mark Kingsbury.pdf | Mark]], [[Media: McInroe Final Paper.pdf | Ben]], [[Media: Wagstaff Project.pdf | Will]]
|-
| [[Group_3_2012 | Chua's Circuit]]
| [[Media: Experimental Characterizing of Nonlinear dynamics of Chua’s circuit.pdf | Presentation]]. '''Papers:''' [[Media: Patrick Chang-final paper.pdf | Patrick]], [[Media: CoyleGroup2Chua.pdf | Edward]], [[Media: Parker Report.pdf | John]], [[Media: Majid Paper.pdf | Majid]]
|-
| [[Group_4_2012 | Cricket Synchronization]]
| [[Media: Cricket Presentation.pdf | Main presentation]], [[Media: Charlie_Presentation.pdf | Presentation on pseudo-synchronization leading the pack]]. '''Papers:''' [[Media: Blythe report.pdf | Justin]], [[Media: Charlie Report.pdf | Charlie]], [[Media: Yuxuan Report.pdf | Yuxuan]]
|}

== Announcements: Fall 2012 ==

* Student groups will be posted shortly. Projects suggestions will be made in class 9/11/2012
* The room Howey S204 has been reserved for student groups to meet and discuss the following hours and dates:
** Mondays from Oct 22 - Dec 3 from 10am to 12pm
** Tuesdays and Thursdays from 11am to 12pm
** Wednesdays from Oct 31 - Dec 5 from 10am to 12pm
** Fridays from 3pm to 5 pm

== Final papers / presentations 2011 ==

'''Congratulations to all the students, the final papers and presentations were universally excellent!''' [[Pictures_2011 | Pictures]] from the semester have been uploaded as well as the final presentations and papers which can be found below.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Project
! Files
|-
|[[Group_1 | Faraday waves]]
|[[Media: ProjectFaraday2.pdf | Main presentation]], [[Media:Corn_Starch_Slides.pdf | Non-newtonian presentation]]. '''Papers:''' [[Media: PaulCardenasLizana.pdf‎ | Paul]], [[Media: Orphee_Juan_Faraday.pdf | Juan]]
|-
| [[Group_2 | Plinko dynamics]]
| [[Media: Plinko_Compressed.pdf| Presentation]]. '''Papers:''' [[Media: Mass_Andrew.pdf | Andrew]], [[Media: Hardin_Charles_-_Group_2_-_6268_Final_Paper.pdf | Andrew]], [[Media: Cordell_Group2_Phys6268.pdf | Chris]]
|-
| [[ Group_3 | Inelastic bouncing ball]]
| [[Media: NLD_Presentation_Official_Final_Final_For_Real.pdf | Presentation]]. '''Papers:''' [[Media: Arora_Nitin_Paper_nitin.pdf | Nitin]], [[Media: Gray_Phillip.pdf | Phillip]], [[Media: Yunis_Jacob_6268_final.pdf | Jacob]], [[Media: Rodesneyinelastic_ball.pdf | Chris]]
|-
| [[Group_4 | Synchronization]]
| [[Media: Group4_Metronomes_Talk.pdf | Presentation]]. '''Papers:''' [[Media: Levenfeld_Vlad.pdf | Vlad]], [[Media: Jover_finalpaper_metronomes_jover.pdf | Luis]], [[Media: Taylor_Bradford.pdf | Brad]], [[Media: Tithof_Metronomes.pdf | Jeff]]
|-
| [[Group_5 | Chaotic faucet]]
| [[Media: PHYS6268 Group5 Presentation.pdf | Presentation]]. '''Papers:''' [[Media: Patel_Ricky_PHYS6268.pdf | Ricky ]], [[Media: Royer_Caleb_PHYS6268_Royer_FinalPaper.pdf | Caleb ]], [[Media: Job_Josh_ChaoticFaucetfinal.pdf | Joshua ]], [[Media: Pritchard_Peter_Phys6268_Final_Paper.pdf | Nick ]]
|-
| [[Group_6 | Ferrofluid]]
| [[Media: Presentation.pdf | Presentation]]. '''Papers:''' [[Media: Schoenwald_Group6_Final.pdf | Kipp]], [[Media: Potter_Ferrofluids_-_Potter.pdf | Daniel]], [[Media: Hamid,_Amir_Ferrofluid_Group_6.pdf | Amir]]
|-
| [[Group_7 | Inverted pendulum]]
| [[Media: The_Inverted_Pendulum.pdf | Presentation]]. '''Papers:''' [[Media: Marcotte_Dynamic_Stabilization_of_the_Inverted_Pendulum.pdf | Chris]], [[Media: Aguilar_Jeff_PendulumPaper.pdf | Jeff]], [[Media: LeeGustavo_Inverted_Pendulum_Final_Report_.pdf | Gustavo]], [[Media: Suri_Balachandra_NLD_final.pdf | Balachandra]]
|}

== Announcements: Fall 2011 ==

* Below is a list of the assigned dates for groups to work in the lab. If any groups have conflicts with the dates listed please email [mailto:nick.gravish@gmail.com me] immediately to resolve this.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Date range
! Groups
|-
| 10/24 - 10/28
| Inverted pendulum ([[Group 7]])
|-
| 10/31 - 11/4
| Inelastic bouncing ball ([[Group 3]]) and dripping faucet ([[Group 5]])
|-
| 11/7 - 11/11
| Synchronization ([[Group 4]]) and Ferrofluid ([[Group 6]])
|-
| 11/14 - 11/18
| Faraday waves ([[Group 1]]) and Plinko dynamics ([[Group 2]])
|-
| 11/28 - 12/2
| Presentations beginning Thursday
|-
| 12/5 - 12/9
| Presentations
|}

* Information about the final presentations and paper can now be found on the [[Final]] page.
* Lab dates have been posted 10/19/11
* Added capability to embed youtube videos. Use the following code to embed <pre><videoflash>YouTubeFileName</videoflash></pre>
* Math rendering has been added using the [http://www.mathjax.org/ MathJax] program. This renders latex code typed into the page source and allows for copy/paste, scaling, and other features. For a Latex tutorial check [http://en.wikibooks.org/wiki/LaTeX/Mathematics here].
* Groups are only able to edit the page associated with their group.
* When you receive your group login and password you should change your password for security.
* For questions about this site email [mailto:nick.gravish@gmail.com Nick Gravish]

== About this wiki ==

See the [[About]] page for more information. This Wiki is open to the public to view but not to edit. However, we gladly make content available to other schools for non-profit educational use. Some links to copyright-protected references and software are not available to anyone without authentication as a Georgia Tech student or staff.

== Wiki 101 ==

Here is a link to mediawiki [http://en.wikipedia.org/wiki/Wikipedia:Cheatsheet cheatsheet].

File:Charlie Presentation.pdf

2012-12-17T16:25:01Z

Alexandros:

Main Page

2012-12-17T16:11:57Z

Alexandros:

[[File: Howey_Building.jpg | thumb | Howey building. School of Physics, Georgia Tech]]

'''This is the wiki page associated with Physics 4268/6268 Nonlinear Dynamics & Chaos.''' Physics 4268/6268 is an undergraduate and graduate level nonlinear dynamics course taught by [http://crablab.gatech.edu/ Professor Daniel I. Goldman] in the [http://www.physics.gatech.edu School of Physics] at the [http://www.gatech.edu Georgia Institute of Technology]. The TAs are [http://www.physics.gatech.edu/~ngravish3/index.html Nick Gravish] and Feifei Qian. Wiki is maintained by [http://www.physics.gatech.edu/~ngravish3/index.html Nick Gravish]. The course is comprised of both a classroom component and a laboratory component. In the laboratory component student led groups will perform a nonlinear dynamics experiment and report their findings. Students thus develop intuition for nonlinear dynamics both on paper and in a hands-on laboratory environment.

'''The goal of this wiki is for students to interactively develop and compile a library of experiments that illustrate fundamental principles of nonlinear dynamics for further educational use.'''

== Site information ==

On this site you will find all content related to the student led nonlinear dynamics experiments. Announcements for the '''2012''' course can be found below. In addition all materials from previous years have been posted so that students may see examples of previous project wiki pages, papers, and presentations.

Each group is given access a project page in which they will edit and add content to a wikipedia styled entry detailing the experiment being performed. The page should include a brief summary of the experiment and the relevant scientific questions followed by a more comprehensive explanation of the theoretical and experimental details. Pages should contain references to outside information via journal or book citations, and external web pages. Once the lab has been completed the page should be edited to include information on experimental analysis, results, and a conclusion. Sample pages from previous years serve as useful references.

== Final papers / presentations 2012 ==

'''Congratulations to all the students!''' [[Pictures_2012 | Pictures and Videos]] from the semester have been uploaded as well as the final presentations and papers which can be found below.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Project
! Files
|-
|[[Group_1_2012 | Duffing Oscilaltor]]
|[[Media: Duffingfinal.pdf | Presentation]]. '''Papers:''' [[Media: DuffingChampion.pdf | Andrew]], [[Media: Lodhi_finalProject.pdf | Aemen]], [[Media: DuffingGranowski.pdf | Ross]]
|-
| [[Group_2_2012 | Firefly Synchrnization]]
| [[Media: Firefly_Final_Presentation.pdf| Presentation]]. '''Papers:''' [[Media: Morris Huang.pdf‎ | Morris]], [[Media: Mark Kingsbury.pdf | Mark]], [[Media: McInroe Final Paper.pdf | Ben]], [[Media: Wagstaff Project.pdf | Will]]
|-
| [[Group_3_2012 | Chua's Circuit]]
| [[Media: Experimental Characterizing of Nonlinear dynamics of Chua’s circuit.pdf | Presentation]]. '''Papers:''' [[Media: Patrick Chang-final paper.pdf | Patrick]], [[Media: CoyleGroup2Chua.pdf | Edward]], [[Media: Parker Report.pdf | John]], [[Media: Majid Paper.pdf | Majid]]
|-
| [[Group_4_2012 | Cricket Synchronization]]
| [[Media: Cricket Presentation.pdf | Presentation]]. '''Papers:''' [[Media: Blythe report.pdf | Justin]], [[Media: Charlie Report.pdf | Charlie]], [[Media: Yuxuan Report.pdf | Yuxuan]]
|}

== Announcements: Fall 2012 ==

* Student groups will be posted shortly. Projects suggestions will be made in class 9/11/2012
* The room Howey S204 has been reserved for student groups to meet and discuss the following hours and dates:
** Mondays from Oct 22 - Dec 3 from 10am to 12pm
** Tuesdays and Thursdays from 11am to 12pm
** Wednesdays from Oct 31 - Dec 5 from 10am to 12pm
** Fridays from 3pm to 5 pm

== Final papers / presentations 2011 ==

'''Congratulations to all the students, the final papers and presentations were universally excellent!''' [[Pictures_2011 | Pictures]] from the semester have been uploaded as well as the final presentations and papers which can be found below.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Project
! Files
|-
|[[Group_1 | Faraday waves]]
|[[Media: ProjectFaraday2.pdf | Main presentation]], [[Media:Corn_Starch_Slides.pdf | Non-newtonian presentation]]. '''Papers:''' [[Media: PaulCardenasLizana.pdf‎ | Paul]], [[Media: Orphee_Juan_Faraday.pdf | Juan]]
|-
| [[Group_2 | Plinko dynamics]]
| [[Media: Plinko_Compressed.pdf| Presentation]]. '''Papers:''' [[Media: Mass_Andrew.pdf | Andrew]], [[Media: Hardin_Charles_-_Group_2_-_6268_Final_Paper.pdf | Andrew]], [[Media: Cordell_Group2_Phys6268.pdf | Chris]]
|-
| [[ Group_3 | Inelastic bouncing ball]]
| [[Media: NLD_Presentation_Official_Final_Final_For_Real.pdf | Presentation]]. '''Papers:''' [[Media: Arora_Nitin_Paper_nitin.pdf | Nitin]], [[Media: Gray_Phillip.pdf | Phillip]], [[Media: Yunis_Jacob_6268_final.pdf | Jacob]], [[Media: Rodesneyinelastic_ball.pdf | Chris]]
|-
| [[Group_4 | Synchronization]]
| [[Media: Group4_Metronomes_Talk.pdf | Presentation]]. '''Papers:''' [[Media: Levenfeld_Vlad.pdf | Vlad]], [[Media: Jover_finalpaper_metronomes_jover.pdf | Luis]], [[Media: Taylor_Bradford.pdf | Brad]], [[Media: Tithof_Metronomes.pdf | Jeff]]
|-
| [[Group_5 | Chaotic faucet]]
| [[Media: PHYS6268 Group5 Presentation.pdf | Presentation]]. '''Papers:''' [[Media: Patel_Ricky_PHYS6268.pdf | Ricky ]], [[Media: Royer_Caleb_PHYS6268_Royer_FinalPaper.pdf | Caleb ]], [[Media: Job_Josh_ChaoticFaucetfinal.pdf | Joshua ]], [[Media: Pritchard_Peter_Phys6268_Final_Paper.pdf | Nick ]]
|-
| [[Group_6 | Ferrofluid]]
| [[Media: Presentation.pdf | Presentation]]. '''Papers:''' [[Media: Schoenwald_Group6_Final.pdf | Kipp]], [[Media: Potter_Ferrofluids_-_Potter.pdf | Daniel]], [[Media: Hamid,_Amir_Ferrofluid_Group_6.pdf | Amir]]
|-
| [[Group_7 | Inverted pendulum]]
| [[Media: The_Inverted_Pendulum.pdf | Presentation]]. '''Papers:''' [[Media: Marcotte_Dynamic_Stabilization_of_the_Inverted_Pendulum.pdf | Chris]], [[Media: Aguilar_Jeff_PendulumPaper.pdf | Jeff]], [[Media: LeeGustavo_Inverted_Pendulum_Final_Report_.pdf | Gustavo]], [[Media: Suri_Balachandra_NLD_final.pdf | Balachandra]]
|}

== Announcements: Fall 2011 ==

* Below is a list of the assigned dates for groups to work in the lab. If any groups have conflicts with the dates listed please email [mailto:nick.gravish@gmail.com me] immediately to resolve this.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Date range
! Groups
|-
| 10/24 - 10/28
| Inverted pendulum ([[Group 7]])
|-
| 10/31 - 11/4
| Inelastic bouncing ball ([[Group 3]]) and dripping faucet ([[Group 5]])
|-
| 11/7 - 11/11
| Synchronization ([[Group 4]]) and Ferrofluid ([[Group 6]])
|-
| 11/14 - 11/18
| Faraday waves ([[Group 1]]) and Plinko dynamics ([[Group 2]])
|-
| 11/28 - 12/2
| Presentations beginning Thursday
|-
| 12/5 - 12/9
| Presentations
|}

* Information about the final presentations and paper can now be found on the [[Final]] page.
* Lab dates have been posted 10/19/11
* Added capability to embed youtube videos. Use the following code to embed <pre><videoflash>YouTubeFileName</videoflash></pre>
* Math rendering has been added using the [http://www.mathjax.org/ MathJax] program. This renders latex code typed into the page source and allows for copy/paste, scaling, and other features. For a Latex tutorial check [http://en.wikibooks.org/wiki/LaTeX/Mathematics here].
* Groups are only able to edit the page associated with their group.
* When you receive your group login and password you should change your password for security.
* For questions about this site email [mailto:nick.gravish@gmail.com Nick Gravish]

== About this wiki ==

See the [[About]] page for more information. This Wiki is open to the public to view but not to edit. However, we gladly make content available to other schools for non-profit educational use. Some links to copyright-protected references and software are not available to anyone without authentication as a Georgia Tech student or staff.

== Wiki 101 ==

Here is a link to mediawiki [http://en.wikipedia.org/wiki/Wikipedia:Cheatsheet cheatsheet].

File:Blythe report.pdf

2012-12-17T16:09:48Z

Alexandros:

File:Charlie Report.pdf

2012-12-17T16:09:32Z

Alexandros:

File:Cricket Presentation.pdf

2012-12-17T16:09:22Z

Alexandros:

File:Yuxuan Report.pdf

2012-12-17T16:09:12Z

Alexandros:

File:Experimental Characterizing of Nonlinear dynamics of Chua’s circuit.pdf

2012-12-17T16:00:50Z

Alexandros:

File:CoyleGroup2Chua.pdf

2012-12-17T15:56:00Z

Alexandros:

File:Patrick Chang-final paper.pdf

2012-12-17T15:55:59Z

Alexandros:

File:Parker Report.pdf

2012-12-17T15:55:44Z

Alexandros:

File:McInroe Final Paper.pdf

2012-12-17T15:49:38Z

Alexandros:

File:Wagstaff Project.pdf

2012-12-17T15:48:10Z

Alexandros:

File:Morris Huang.pdf

2012-12-17T15:48:10Z

Alexandros:

File:Mark Kingsbury.pdf

2012-12-17T15:48:09Z

Alexandros:

File:Majid Paper.pdf

2012-12-17T15:48:09Z

Alexandros:

File:Firefly Final Presentation.pdf

2012-12-17T15:45:13Z

Alexandros:

File:Lodhi finalProject.pdf

2012-12-17T15:40:00Z

Alexandros:

MediaWiki:Sidebar

2012-12-14T19:56:09Z

Alexandros:

Pictures 2012

2012-12-14T19:55:47Z

Alexandros:

Below are pictures taken from the lab and presentation portions of the class.

[[File: IMAG1390.jpg| center | 500px]]
<center>Ross, Andrew, Nick, and Suchithra setting up the forced Duffing oscillator experiment.</center>

[[File: IMAG1395.jpg| center | 500px]]
<center>Suchithra, Andrew, Aemen, and Ross with the Duffing oscillator.</center>

[[File: IMAG1424.jpg| center | 500px]]
<center>The duffing oscillator experimental set up.</center>

<videoflash>KZF5k4L_YAo</videoflash>
<center>Duffing oscillator experiment.</center>

[[File: IMAG1509.jpg| center | 500px]]
<center>Will and Bem working on firefly synchronization.</center>

[[File: IMAG1510.jpg| center | 500px]]
<center>The firefly synchronization set up.</center>

<videoflash>4Om3CoT6xUM</videoflash>
<center>The firefly synchronization in action.</center>

[[File: IMAG1511.jpg| center | 500px]]
<center>Generating stability diagrams for the firefly synchronization.</center>

[[File: IMAG1514.jpg| center | 500px]]
<center>Justin (Left) working with the cricket acoustic synchronization, while Morris, Ben, and Mark work on firefly synchronization.</center>

[[File: IMAG1515.jpg| center | 500px]]
<center>There is Charlie too!</center>

[[File: IMAG1516.jpg| center | 500px]]
<center>The cricket synchronization experimental set up.</center>

<videoflash>ekTZoTrDxxw</videoflash>
<center>Acoustic cricket synchronization.</center>

[[File: IMAG1521.jpg| center | 500px]]
<center>Charlie presenting the cricket synchronization experiment.</center>

Pictures 2012

2012-12-14T19:29:03Z

Alexandros:

Below are pictures taken from the lab and presentation portions of the class.

[[File: IMAG1390.jpg| center | 500px]]
<center>Ross, Andrew, Nick, and Suchithra setting up the forced Duffing oscillator experiment.</center>

[[File: IMAG1395.jpg| center | 500px]]
<center>Suchithra, Andrew, Aemon, and Ross with the Duffing oscillator.</center>

[[File: IMAG1424.jpg| center | 500px]]
<center>The duffing oscillator experimental set up.</center>

<videoflash>KZF5k4L_YAo</videoflash>
<center>Duffing oscillator experiment.</center>

[[File: IMAG1509.jpg| center | 500px]]
<center>Will and Bem working on firefly synchronization.</center>

[[File: IMAG1510.jpg| center | 500px]]
<center>The firefly synchronization set up.</center>

<videoflash>4Om3CoT6xUM</videoflash>
<center>The firefly synchronization in action.</center>

[[File: IMAG1511.jpg| center | 500px]]
<center>Generating stability diagrams for the firefly synchronization.</center>

[[File: IMAG1514.jpg| center | 500px]]
<center>Justin (Left) working with the cricket acoustic synchronization, while Morris, Ben, and Mark work on firefly synchronization.</center>

[[File: IMAG1515.jpg| center | 500px]]
<center>There is Charlie too!</center>

[[File: IMAG1516.jpg| center | 500px]]
<center>The cricket synchronization experimental set up.</center>

<videoflash>ekTZoTrDxxw</videoflash>
<center>Acoustic cricket synchronization.</center>

[[File: IMAG1521.jpg| center | 500px]]
<center>Charlie presenting the cricket synchronization experiment.</center>

Pictures 2012

2012-12-14T17:53:32Z

Alexandros: Created page with "Below are pictures taken from the lab and presentation portions of the class. 500px <center>Ross, Andrew, Nick, and Suchithra setting up the fo..."

Below are pictures taken from the lab and presentation portions of the class.

[[File: IMAG1390.jpg| center | 500px]]
<center>Ross, Andrew, Nick, and Suchithra setting up the forced Duffing oscillator experiment.</center>

[[File: IMAG1395.jpg| center | 500px]]
<center>Suchithra, Andrew, Aemon, and Ross with the Duffing oscillator.</center>

[[File: IMAG1424.jpg| center | 500px]]
<center>The duffing oscillator experimental set up.</center>

[[File: IMAG1509.jpg| center | 500px]]
<center>Will and Bem working on firefly synchronization.</center>

[[File: IMAG1510.jpg| center | 500px]]
<center>The firefly synchronization set up.</center>

[[File: IMAG1511.jpg| center | 500px]]
<center>Generating stability diagrams for the firefly synchronization.</center>

[[File: IMAG1514.jpg| center | 500px]]
<center>Justin (Left) working with the cricket acoustic synchronization, while Morris, Ben, and Mark work on firefly synchronization.</center>

[[File: IMAG1515.jpg| center | 500px]]
<center>There is Charlie too!</center>

[[File: IMAG1516.jpg| center | 500px]]
<center>The cricket synchronization experimental set up.</center>

[[File: IMAG1521.jpg| center | 500px]]
<center>Charlie presenting the cricket synchronization experiment.</center>

File:IMAG1511.jpg

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Alexandros:

File:IMAG1516.jpg

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MediaWiki:Sidebar

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MediaWiki:Sidebar

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2012-12-14T16:36:01Z

Alexandros:

Assignments

2012-11-26T16:47:58Z

Alexandros:

==Assignments for 2012==

===Assignment 2===
Problems are from Strogatz (1994): 7.3.3, 7.6.15, 8.1.12G, 8.2.1, 8.2.3, 8.4.12, 8.7.10G, 9.3.9, 9.4.2, 10.1.12, 10.2.4, 11.3.8, 11.4.6G, 12.1.5, 12.3.2G, 12.4.3. Problems 8.7.3 and 10.4.10 can be submitted for extra credit for undergraduates and graduates students. Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due Tuesday, November 20th by 5pm. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

===Midterm===
The exam consists of four parts: some problems from the book, a numerical exercise, a proposal like we discussed in class, and a wiki site. You must complete all parts to receive full credit.<o:p></o:p>

1. (50%) Problems: 4.3.6, 4.3.10G, 4.5.1, 5.1.1, 5.1.9G, 5.1.10b, 5.2.13, 6.1.2, 6.3.6, 6.5.15, 6.6.8G, 6.7.2, where G denotes problems that must be done by graduate students. Unlike homework sets, you may not discuss these problems with your classmates.

2. (10%) For problem 6.3.6 write a program in Matlab, Octave, python, etc to sketch the phase plane and plot trajectories x(t) and y(t). Compare what you generate to solutions generated in pplane8.m (see http://math.rice.edu/~dfield/index.html). You must work on your own for this problem.

3. (30%) Collaboratively write a 1-3 page project proposal which will summarize the goals of your experiment, discuss experimental design, and cite any relevant literature. We would like these to be written using the LaTeX typesetting language. This can be downloaded and installed freely from http://miktex.org/ and free editors are available on the web as well (http://www.latexeditor.org/ for example).

4. (10%) Create a website for your project. Website content will be edited on the class wiki which is at http://nldlab.gatech.edu. Each group will be responsible for creating a wiki page for their experiment which will contain background information on the phenomena studied. Wiki pages should contain outside references such as journal articles.

Midterm is due at 5pm on Thursday, October 18, in the box outside Dr. Goldman's office. Please put your name and if you are a graduate student/undergrad on the exam and staple all sheets together.

=== Assignment 1 ===
Problems are from Strogatz: 2.2.7, 2.3.3, 2.4.2, 2.5.3G, 2.6.2G, 2.8.8, 3.1.1, 3.4.11, 3.4.14, 3.5.6G, 3.6.6. Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Tuesday, Sept 13. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

==Assignments for 2011==
=== Assignment 4 ===
HW4: 9.1.4, 9.4.2, 10.2.4, 10.3.7G,11.4.6G,11.3.8,12.1.5, 12.3.2

Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due <del>in class on Tuesday, Nov 29</del> Dec 1st at the beginning of class. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

=== Assignment 3 ===
HW3: 7.3.3, 7.6.15, 8.1.1, 8.1.12G, 8.2.1, 8.2.3, 8.4.4G, 8.4.12

Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Thursday, Nov 10. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

=== Midterm ===
The exam consists of three parts: some problems from the book, a numerical exercise, and a proposal like we discussed in class. You must complete all parts to receive full credit.

1. Problems: 3.5.4, 4.3.6, 5.1.9G, <del>5.2.13</del>, 6.3.6, 6.5.15, 6.6.8G, 6.7.2, where G denotes problems that must be done by graduate students. Unlike homework sets, you may not discuss these problems with your classmates.

2. For problem 6.3.6 write a program in Matlab, Octave, python, etc to sketch the phase plane and plot trajectories x(t) and y(t). Compare what you generate to solutions generated in pplane8.m (see http://math.rice.edu/~dfield/index.html). You must work on your own for this problem.

3. Collaboratively write a 1-3 page project proposal which will summarize the goals of your experiment and cite any relevant literature. We would like these to be written using the LaTeX typesetting language. This can be downloaded and installed freely from http://miktex.org/ and free editors are available on the web as well http://www.latexeditor.org/ for example.

4. Create a website for your project. Website content will be edited on the class wiki which will soon be located at http://nldlab.gatech.edu/w/. Each group will be responsible for creating a wiki page for their experiment which will contain background information on the phenomena studied. Wiki pages should contain outside references such as journal articles. A sample page will be posted.

=== Assignment 2 ===

HW2: 3.5.6G, 3.6.6, 4.1.4, 4.3.3, 4.3.10G, 4.5.1, 5.1.1, 5.1.10b, 5.2.12, 5.2.13G.

Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Tuesday, Sept 27. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

=== Assignment 1 ===

Problems are from Strogatz: 2.2.7, 2.3.3, 2.4.2, 2.5.3G, 2.6.2G, 2.8.8, 3.1.1, 3.4.11, 3.4.14, 3.5.6G, 3.6.6. Problems with a G at the end are problems
added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Tuesday, Sept 13. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

Assignments

2012-10-11T14:38:46Z

Alexandros:

==Assignments for 2012==

===Midterm===
The exam consists of four parts: some problems from the book, a numerical exercise, a proposal like we discussed in class, and a wiki site. You must complete all parts to receive full credit.<o:p></o:p>

1. (50%) Problems: 4.3.6, 4.3.10G, 4.5.1, 5.1.1, 5.1.9G, 5.1.10b, 5.2.13, 6.1.2, 6.3.6, 6.5.15, 6.6.8G, 6.7.2, where G denotes problems that must be done by graduate students. Unlike homework sets, you may not discuss these problems with your classmates.

2. (10%) For problem 6.3.6 write a program in Matlab, Octave, python, etc to sketch the phase plane and plot trajectories x(t) and y(t). Compare what you generate to solutions generated in pplane8.m (see http://math.rice.edu/~dfield/index.html). You must work on your own for this problem.

3. (30%) Collaboratively write a 1-3 page project proposal which will summarize the goals of your experiment, discuss experimental design, and cite any relevant literature. We would like these to be written using the LaTeX typesetting language. This can be downloaded and installed freely from http://miktex.org/ and free editors are available on the web as well (http://www.latexeditor.org/ for example).

4. (10%) Create a website for your project. Website content will be edited on the class wiki which is at http://nldlab.gatech.edu. Each group will be responsible for creating a wiki page for their experiment which will contain background information on the phenomena studied. Wiki pages should contain outside references such as journal articles.

Midterm is due at 5pm on Thursday, October 18, in the box outside Dr. Goldman's office. Please put your name and if you are a graduate student/undergrad on the exam and staple all sheets together.

=== Assignment 1 ===
Problems are from Strogatz: 2.2.7, 2.3.3, 2.4.2, 2.5.3G, 2.6.2G, 2.8.8, 3.1.1, 3.4.11, 3.4.14, 3.5.6G, 3.6.6. Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Tuesday, Sept 13. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

==Assignments for 2011==
=== Assignment 4 ===
HW4: 9.1.4, 9.4.2, 10.2.4, 10.3.7G,11.4.6G,11.3.8,12.1.5, 12.3.2

Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due <del>in class on Tuesday, Nov 29</del> Dec 1st at the beginning of class. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

=== Assignment 3 ===
HW3: 7.3.3, 7.6.15, 8.1.1, 8.1.12G, 8.2.1, 8.2.3, 8.4.4G, 8.4.12

Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Thursday, Nov 10. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

=== Midterm ===
The exam consists of three parts: some problems from the book, a numerical exercise, and a proposal like we discussed in class. You must complete all parts to receive full credit.

1. Problems: 3.5.4, 4.3.6, 5.1.9G, <del>5.2.13</del>, 6.3.6, 6.5.15, 6.6.8G, 6.7.2, where G denotes problems that must be done by graduate students. Unlike homework sets, you may not discuss these problems with your classmates.

2. For problem 6.3.6 write a program in Matlab, Octave, python, etc to sketch the phase plane and plot trajectories x(t) and y(t). Compare what you generate to solutions generated in pplane8.m (see http://math.rice.edu/~dfield/index.html). You must work on your own for this problem.

3. Collaboratively write a 1-3 page project proposal which will summarize the goals of your experiment and cite any relevant literature. We would like these to be written using the LaTeX typesetting language. This can be downloaded and installed freely from http://miktex.org/ and free editors are available on the web as well http://www.latexeditor.org/ for example.

4. Create a website for your project. Website content will be edited on the class wiki which will soon be located at http://nldlab.gatech.edu/w/. Each group will be responsible for creating a wiki page for their experiment which will contain background information on the phenomena studied. Wiki pages should contain outside references such as journal articles. A sample page will be posted.

=== Assignment 2 ===

HW2: 3.5.6G, 3.6.6, 4.1.4, 4.3.3, 4.3.10G, 4.5.1, 5.1.1, 5.1.10b, 5.2.12, 5.2.13G.

Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Tuesday, Sept 27. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

=== Assignment 1 ===

Problems are from Strogatz: 2.2.7, 2.3.3, 2.4.2, 2.5.3G, 2.6.2G, 2.8.8, 3.1.1, 3.4.11, 3.4.14, 3.5.6G, 3.6.6. Problems with a G at the end are problems
added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Tuesday, Sept 13. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

Main Page

2012-10-11T14:32:32Z

Alexandros:

[[File: Howey_Building.jpg | thumb | Howey building. School of Physics, Georgia Tech]]

'''This is the wiki page associated with Physics 4268/6268 Nonlinear Dynamics & Chaos.''' Physics 4268/6268 is an undergraduate and graduate level nonlinear dynamics course taught by [http://crablab.gatech.edu/ Professor Daniel I. Goldman] in the [http://www.physics.gatech.edu School of Physics] at the [http://www.gatech.edu Georgia Institute of Technology]. The TAs are [http://www.physics.gatech.edu/~ngravish3/index.html Nick Gravish] and Feifei Qian. Wiki is maintained by [http://www.physics.gatech.edu/~ngravish3/index.html Nick Gravish]. The course is comprised of both a classroom component and a laboratory component. In the laboratory component student led groups will perform a nonlinear dynamics experiment and report their findings. Students thus develop intuition for nonlinear dynamics both on paper and in a hands-on laboratory environment.

'''The goal of this wiki is for students to interactively develop and compile a library of experiments that illustrate fundamental principles of nonlinear dynamics for further educational use.'''

== Site information ==

On this site you will find all content related to the student led nonlinear dynamics experiments. Announcements for the '''2012''' course can be found below. In addition all materials from previous years have been posted so that students may see examples of previous project wiki pages, papers, and presentations.

Each group is given access a project page in which they will edit and add content to a wikipedia styled entry detailing the experiment being performed. The page should include a brief summary of the experiment and the relevant scientific questions followed by a more comprehensive explanation of the theoretical and experimental details. Pages should contain references to outside information via journal or book citations, and external web pages. Once the lab has been completed the page should be edited to include information on experimental analysis, results, and a conclusion. Sample pages from previous years serve as useful references.

== Announcements: Fall 2012 ==

* Student groups will be posted shortly. Projects suggestions will be made in class 9/11/2012
* The room Howey S204 has been reserved for student groups to meet and discuss the following hours and dates:
** Mondays from Oct 22 - Dec 3 from 10am to 12pm
** Tuesdays and Thursdays from 11am to 12pm
** Wednesdays from Oct 31 - Dec 5 from 10am to 12pm
** Fridays from 3pm to 5 pm

== Final papers / presentations 2011 ==

'''Congratulations to all the students, the final papers and presentations were universally excellent!''' [[Pictures_2011 | Pictures]] from the semester have been uploaded as well as the final presentations and papers which can be found below.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Project
! Files
|-
|[[Group_1 | Faraday waves]]
|[[Media: ProjectFaraday2.pdf | Main presentation]], [[Media:Corn_Starch_Slides.pdf | Non-newtonian presentation]]. '''Papers:''' [[Media: PaulCardenasLizana.pdf‎ | Paul]], [[Media: Orphee_Juan_Faraday.pdf | Juan]]
|-
| [[Group_2 | Plinko dynamics]]
| [[Media: Plinko_Compressed.pdf| Presentation]]. '''Papers:''' [[Media: Mass_Andrew.pdf | Andrew]], [[Media: Hardin_Charles_-_Group_2_-_6268_Final_Paper.pdf | Andrew]], [[Media: Cordell_Group2_Phys6268.pdf | Chris]]
|-
| [[ Group_3 | Inelastic bouncing ball]]
| [[Media: NLD_Presentation_Official_Final_Final_For_Real.pdf | Presentation]]. '''Papers:''' [[Media: Arora_Nitin_Paper_nitin.pdf | Nitin]], [[Media: Gray_Phillip.pdf | Phillip]], [[Media: Yunis_Jacob_6268_final.pdf | Jacob]], [[Media: Rodesneyinelastic_ball.pdf | Chris]]
|-
| [[Group_4 | Synchronization]]
| [[Media: Group4_Metronomes_Talk.pdf | Presentation]]. '''Papers:''' [[Media: Levenfeld_Vlad.pdf | Vlad]], [[Media: Jover_finalpaper_metronomes_jover.pdf | Luis]], [[Media: Taylor_Bradford.pdf | Brad]], [[Media: Tithof_Metronomes.pdf | Jeff]]
|-
| [[Group_5 | Chaotic faucet]]
| [[Media: PHYS6268 Group5 Presentation.pdf | Presentation]]. '''Papers:''' [[Media: Patel_Ricky_PHYS6268.pdf | Ricky ]], [[Media: Royer_Caleb_PHYS6268_Royer_FinalPaper.pdf | Caleb ]], [[Media: Job_Josh_ChaoticFaucetfinal.pdf | Joshua ]], [[Media: Pritchard_Peter_Phys6268_Final_Paper.pdf | Nick ]]
|-
| [[Group_6 | Ferrofluid]]
| [[Media: Presentation.pdf | Presentation]]. '''Papers:''' [[Media: Schoenwald_Group6_Final.pdf | Kipp]], [[Media: Potter_Ferrofluids_-_Potter.pdf | Daniel]], [[Media: Hamid,_Amir_Ferrofluid_Group_6.pdf | Amir]]
|-
| [[Group_7 | Inverted pendulum]]
| [[Media: The_Inverted_Pendulum.pdf | Presentation]]. '''Papers:''' [[Media: Marcotte_Dynamic_Stabilization_of_the_Inverted_Pendulum.pdf | Chris]], [[Media: Aguilar_Jeff_PendulumPaper.pdf | Jeff]], [[Media: LeeGustavo_Inverted_Pendulum_Final_Report_.pdf | Gustavo]], [[Media: Suri_Balachandra_NLD_final.pdf | Balachandra]]
|}

== Announcements: Fall 2011 ==

* Below is a list of the assigned dates for groups to work in the lab. If any groups have conflicts with the dates listed please email [mailto:nick.gravish@gmail.com me] immediately to resolve this.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Date range
! Groups
|-
| 10/24 - 10/28
| Inverted pendulum ([[Group 7]])
|-
| 10/31 - 11/4
| Inelastic bouncing ball ([[Group 3]]) and dripping faucet ([[Group 5]])
|-
| 11/7 - 11/11
| Synchronization ([[Group 4]]) and Ferrofluid ([[Group 6]])
|-
| 11/14 - 11/18
| Faraday waves ([[Group 1]]) and Plinko dynamics ([[Group 2]])
|-
| 11/28 - 12/2
| Presentations beginning Thursday
|-
| 12/5 - 12/9
| Presentations
|}

* Information about the final presentations and paper can now be found on the [[Final]] page.
* Lab dates have been posted 10/19/11
* Added capability to embed youtube videos. Use the following code to embed <pre><videoflash>YouTubeFileName</videoflash></pre>
* Math rendering has been added using the [http://www.mathjax.org/ MathJax] program. This renders latex code typed into the page source and allows for copy/paste, scaling, and other features. For a Latex tutorial check [http://en.wikibooks.org/wiki/LaTeX/Mathematics here].
* Groups are only able to edit the page associated with their group.
* When you receive your group login and password you should change your password for security.
* For questions about this site email [mailto:nick.gravish@gmail.com Nick Gravish]

== About this wiki ==

See the [[About]] page for more information. This Wiki is open to the public to view but not to edit. However, we gladly make content available to other schools for non-profit educational use. Some links to copyright-protected references and software are not available to anyone without authentication as a Georgia Tech student or staff.

== Wiki 101 ==

Here is a link to mediawiki [http://en.wikipedia.org/wiki/Wikipedia:Cheatsheet cheatsheet].

Main Page

2012-10-11T14:31:55Z

Alexandros:

[[File: Howey_Building.jpg | thumb | Howey building. School of Physics, Georgia Tech]]

'''This is the wiki page associated with Physics 4268/6268 Nonlinear Dynamics & Chaos.''' Physics 4268/6268 is an undergraduate and graduate level nonlinear dynamics course taught by [http://crablab.gatech.edu/ Professor Daniel I. Goldman] in the [http://www.physics.gatech.edu School of Physics] at the [http://www.gatech.edu Georgia Institute of Technology]. The TAs are [http://www.physics.gatech.edu/~ngravish3/index.html Nick Gravish] and Feifei Qian. Wiki is maintained by [http://www.physics.gatech.edu/~ngravish3/index.html Nick Gravish]. The course is comprised of both a classroom component and a laboratory component. In the laboratory component student led groups will perform a nonlinear dynamics experiment and report their findings. Students thus develop intuition for nonlinear dynamics both on paper and in a hands-on laboratory environment.

'''The goal of this wiki is for students to interactively develop and compile a library of experiments that illustrate fundamental principles of nonlinear dynamics for further educational use.'''

== Site information ==

On this site you will find all content related to the student led nonlinear dynamics experiments. Announcements for the '''2012''' course can be found below. In addition all materials from previous years have been posted so that students may see examples of previous project wiki pages, papers, and presentations.

Each group is given access a project page in which they will edit and add content to a wikipedia styled entry detailing the experiment being performed. The page should include a brief summary of the experiment and the relevant scientific questions followed by a more comprehensive explanation of the theoretical and experimental details. Pages should contain references to outside information via journal or book citations, and external web pages. Once the lab has been completed the page should be edited to include information on experimental analysis, results, and a conclusion. Sample pages from previous years serve as useful references.

== Announcements: Fall 2012 ==

* Student groups will be posted shortly. Projects suggestions will be made in class 9/11/2012
* The room Howey S204 has been reserved for student groups to meet and discuss the following hours and dates:
** Mondays from Oct 22 - Dec 3 from 10am to 12pm
** Tuesdays and Thursdays from 11am to 12pm
** Wednesdays from Oct 31* - Dec 5 from 10am to 12pm
** Fridays from 3pm to 5 pm

== Final papers / presentations 2011 ==

'''Congratulations to all the students, the final papers and presentations were universally excellent!''' [[Pictures_2011 | Pictures]] from the semester have been uploaded as well as the final presentations and papers which can be found below.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Project
! Files
|-
|[[Group_1 | Faraday waves]]
|[[Media: ProjectFaraday2.pdf | Main presentation]], [[Media:Corn_Starch_Slides.pdf | Non-newtonian presentation]]. '''Papers:''' [[Media: PaulCardenasLizana.pdf‎ | Paul]], [[Media: Orphee_Juan_Faraday.pdf | Juan]]
|-
| [[Group_2 | Plinko dynamics]]
| [[Media: Plinko_Compressed.pdf| Presentation]]. '''Papers:''' [[Media: Mass_Andrew.pdf | Andrew]], [[Media: Hardin_Charles_-_Group_2_-_6268_Final_Paper.pdf | Andrew]], [[Media: Cordell_Group2_Phys6268.pdf | Chris]]
|-
| [[ Group_3 | Inelastic bouncing ball]]
| [[Media: NLD_Presentation_Official_Final_Final_For_Real.pdf | Presentation]]. '''Papers:''' [[Media: Arora_Nitin_Paper_nitin.pdf | Nitin]], [[Media: Gray_Phillip.pdf | Phillip]], [[Media: Yunis_Jacob_6268_final.pdf | Jacob]], [[Media: Rodesneyinelastic_ball.pdf | Chris]]
|-
| [[Group_4 | Synchronization]]
| [[Media: Group4_Metronomes_Talk.pdf | Presentation]]. '''Papers:''' [[Media: Levenfeld_Vlad.pdf | Vlad]], [[Media: Jover_finalpaper_metronomes_jover.pdf | Luis]], [[Media: Taylor_Bradford.pdf | Brad]], [[Media: Tithof_Metronomes.pdf | Jeff]]
|-
| [[Group_5 | Chaotic faucet]]
| [[Media: PHYS6268 Group5 Presentation.pdf | Presentation]]. '''Papers:''' [[Media: Patel_Ricky_PHYS6268.pdf | Ricky ]], [[Media: Royer_Caleb_PHYS6268_Royer_FinalPaper.pdf | Caleb ]], [[Media: Job_Josh_ChaoticFaucetfinal.pdf | Joshua ]], [[Media: Pritchard_Peter_Phys6268_Final_Paper.pdf | Nick ]]
|-
| [[Group_6 | Ferrofluid]]
| [[Media: Presentation.pdf | Presentation]]. '''Papers:''' [[Media: Schoenwald_Group6_Final.pdf | Kipp]], [[Media: Potter_Ferrofluids_-_Potter.pdf | Daniel]], [[Media: Hamid,_Amir_Ferrofluid_Group_6.pdf | Amir]]
|-
| [[Group_7 | Inverted pendulum]]
| [[Media: The_Inverted_Pendulum.pdf | Presentation]]. '''Papers:''' [[Media: Marcotte_Dynamic_Stabilization_of_the_Inverted_Pendulum.pdf | Chris]], [[Media: Aguilar_Jeff_PendulumPaper.pdf | Jeff]], [[Media: LeeGustavo_Inverted_Pendulum_Final_Report_.pdf | Gustavo]], [[Media: Suri_Balachandra_NLD_final.pdf | Balachandra]]
|}

== Announcements: Fall 2011 ==

* Below is a list of the assigned dates for groups to work in the lab. If any groups have conflicts with the dates listed please email [mailto:nick.gravish@gmail.com me] immediately to resolve this.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Date range
! Groups
|-
| 10/24 - 10/28
| Inverted pendulum ([[Group 7]])
|-
| 10/31 - 11/4
| Inelastic bouncing ball ([[Group 3]]) and dripping faucet ([[Group 5]])
|-
| 11/7 - 11/11
| Synchronization ([[Group 4]]) and Ferrofluid ([[Group 6]])
|-
| 11/14 - 11/18
| Faraday waves ([[Group 1]]) and Plinko dynamics ([[Group 2]])
|-
| 11/28 - 12/2
| Presentations beginning Thursday
|-
| 12/5 - 12/9
| Presentations
|}

* Information about the final presentations and paper can now be found on the [[Final]] page.
* Lab dates have been posted 10/19/11
* Added capability to embed youtube videos. Use the following code to embed <pre><videoflash>YouTubeFileName</videoflash></pre>
* Math rendering has been added using the [http://www.mathjax.org/ MathJax] program. This renders latex code typed into the page source and allows for copy/paste, scaling, and other features. For a Latex tutorial check [http://en.wikibooks.org/wiki/LaTeX/Mathematics here].
* Groups are only able to edit the page associated with their group.
* When you receive your group login and password you should change your password for security.
* For questions about this site email [mailto:nick.gravish@gmail.com Nick Gravish]

== About this wiki ==

See the [[About]] page for more information. This Wiki is open to the public to view but not to edit. However, we gladly make content available to other schools for non-profit educational use. Some links to copyright-protected references and software are not available to anyone without authentication as a Georgia Tech student or staff.

== Wiki 101 ==

Here is a link to mediawiki [http://en.wikipedia.org/wiki/Wikipedia:Cheatsheet cheatsheet].

Syllabus

2012-10-11T14:19:21Z

Alexandros:

__NOTOC__

'''Class: Physics 4267/6268, Nonlinear Dynamics & Chaos, Fall 2012'''

==Instructor & TA==
'''Instructor:'''

Prof. Daniel I. Goldman, School of Physics, Georgia Institute of Technology 
'''Office:''' Howey C202 (office hours: by email) 
'''Phone:''' (404) 894-0993 
'''E-mail:''' daniel.goldman@physics.gatech.edu 

'''TAs:'''

Feifei Qian 
'''Office:''' Howey W01 (office hours TBD) 
'''E-mail:''' qianfeifei_china@gatech.edu 

Nick Gravish 
'''Office:''' Howey W01 (office hours TBD) 
'''E-mail:''' nick.gravish@gmail.com 

Alexandros Fragkopoulos 
'''Office:''' Boggs B-55 (office hours TBD) 
'''E-mail:''' afragkopoulos@gmail.com 

==Course Description==

The course offers an introductory treatment of nonlinear dynamics and chaos, including first order ODE and their bifurcations, phase plane analysis, limit cycles, Lorenz equations, chaos, iterated maps, period doubling, fractals and strange attractors. Teams of students will also conduct one week of self-guided experiments in Prof. Goldman's laboratory and prepare final report/presentation of the results.

==Time and Place==

Tuesday, Thursday, 9:30-11AM, Howey S204

==Homework and grading==

Homework sets will be given every other week. Homework must be submitted at the start of class or it will be considered late.

'''Final Grades'''

Grades will be calculated using 40% homework scores, 20% from mid-term exam, and 40% from the final project

==Book==

"Nonlinear Dyanamics & Chaos", Steven H. Strogatz (Westview Press, 2001)

Main Page

2012-10-11T14:18:26Z

Alexandros:

[[File: Howey_Building.jpg | thumb | Howey building. School of Physics, Georgia Tech]]

'''This is the wiki page associated with Physics 4268/6268 Nonlinear Dynamics & Chaos.''' Physics 4268/6268 is an undergraduate and graduate level nonlinear dynamics course taught by [http://crablab.gatech.edu/ Professor Daniel I. Goldman] in the [http://www.physics.gatech.edu School of Physics] at the [http://www.gatech.edu Georgia Institute of Technology]. The TAs are [http://www.physics.gatech.edu/~ngravish3/index.html Nick Gravish] and Feifei Qian. Wiki is maintained by [http://www.physics.gatech.edu/~ngravish3/index.html Nick Gravish]. The course is comprised of both a classroom component and a laboratory component. In the laboratory component student led groups will perform a nonlinear dynamics experiment and report their findings. Students thus develop intuition for nonlinear dynamics both on paper and in a hands-on laboratory environment.

'''The goal of this wiki is for students to interactively develop and compile a library of experiments that illustrate fundamental principles of nonlinear dynamics for further educational use.'''

== Site information ==

On this site you will find all content related to the student led nonlinear dynamics experiments. Announcements for the '''2012''' course can be found below. In addition all materials from previous years have been posted so that students may see examples of previous project wiki pages, papers, and presentations.

Each group is given access a project page in which they will edit and add content to a wikipedia styled entry detailing the experiment being performed. The page should include a brief summary of the experiment and the relevant scientific questions followed by a more comprehensive explanation of the theoretical and experimental details. Pages should contain references to outside information via journal or book citations, and external web pages. Once the lab has been completed the page should be edited to include information on experimental analysis, results, and a conclusion. Sample pages from previous years serve as useful references.

== Announcements: Fall 2012 ==

* Student groups will be posted shortly. Projects suggestions will be made in clasee 9/11/2012

== Final papers / presentations 2011 ==

'''Congratulations to all the students, the final papers and presentations were universally excellent!''' [[Pictures_2011 | Pictures]] from the semester have been uploaded as well as the final presentations and papers which can be found below.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Project
! Files
|-
|[[Group_1 | Faraday waves]]
|[[Media: ProjectFaraday2.pdf | Main presentation]], [[Media:Corn_Starch_Slides.pdf | Non-newtonian presentation]]. '''Papers:''' [[Media: PaulCardenasLizana.pdf‎ | Paul]], [[Media: Orphee_Juan_Faraday.pdf | Juan]]
|-
| [[Group_2 | Plinko dynamics]]
| [[Media: Plinko_Compressed.pdf| Presentation]]. '''Papers:''' [[Media: Mass_Andrew.pdf | Andrew]], [[Media: Hardin_Charles_-_Group_2_-_6268_Final_Paper.pdf | Andrew]], [[Media: Cordell_Group2_Phys6268.pdf | Chris]]
|-
| [[ Group_3 | Inelastic bouncing ball]]
| [[Media: NLD_Presentation_Official_Final_Final_For_Real.pdf | Presentation]]. '''Papers:''' [[Media: Arora_Nitin_Paper_nitin.pdf | Nitin]], [[Media: Gray_Phillip.pdf | Phillip]], [[Media: Yunis_Jacob_6268_final.pdf | Jacob]], [[Media: Rodesneyinelastic_ball.pdf | Chris]]
|-
| [[Group_4 | Synchronization]]
| [[Media: Group4_Metronomes_Talk.pdf | Presentation]]. '''Papers:''' [[Media: Levenfeld_Vlad.pdf | Vlad]], [[Media: Jover_finalpaper_metronomes_jover.pdf | Luis]], [[Media: Taylor_Bradford.pdf | Brad]], [[Media: Tithof_Metronomes.pdf | Jeff]]
|-
| [[Group_5 | Chaotic faucet]]
| [[Media: PHYS6268 Group5 Presentation.pdf | Presentation]]. '''Papers:''' [[Media: Patel_Ricky_PHYS6268.pdf | Ricky ]], [[Media: Royer_Caleb_PHYS6268_Royer_FinalPaper.pdf | Caleb ]], [[Media: Job_Josh_ChaoticFaucetfinal.pdf | Joshua ]], [[Media: Pritchard_Peter_Phys6268_Final_Paper.pdf | Nick ]]
|-
| [[Group_6 | Ferrofluid]]
| [[Media: Presentation.pdf | Presentation]]. '''Papers:''' [[Media: Schoenwald_Group6_Final.pdf | Kipp]], [[Media: Potter_Ferrofluids_-_Potter.pdf | Daniel]], [[Media: Hamid,_Amir_Ferrofluid_Group_6.pdf | Amir]]
|-
| [[Group_7 | Inverted pendulum]]
| [[Media: The_Inverted_Pendulum.pdf | Presentation]]. '''Papers:''' [[Media: Marcotte_Dynamic_Stabilization_of_the_Inverted_Pendulum.pdf | Chris]], [[Media: Aguilar_Jeff_PendulumPaper.pdf | Jeff]], [[Media: LeeGustavo_Inverted_Pendulum_Final_Report_.pdf | Gustavo]], [[Media: Suri_Balachandra_NLD_final.pdf | Balachandra]]
|}

== Announcements: Fall 2011 ==

* Below is a list of the assigned dates for groups to work in the lab. If any groups have conflicts with the dates listed please email [mailto:nick.gravish@gmail.com me] immediately to resolve this.

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Date range
! Groups
|-
| 10/24 - 10/28
| Inverted pendulum ([[Group 7]])
|-
| 10/31 - 11/4
| Inelastic bouncing ball ([[Group 3]]) and dripping faucet ([[Group 5]])
|-
| 11/7 - 11/11
| Synchronization ([[Group 4]]) and Ferrofluid ([[Group 6]])
|-
| 11/14 - 11/18
| Faraday waves ([[Group 1]]) and Plinko dynamics ([[Group 2]])
|-
| 11/28 - 12/2
| Presentations beginning Thursday
|-
| 12/5 - 12/9
| Presentations
|}

* Information about the final presentations and paper can now be found on the [[Final]] page.
* Lab dates have been posted 10/19/11
* Added capability to embed youtube videos. Use the following code to embed <pre><videoflash>YouTubeFileName</videoflash></pre>
* Math rendering has been added using the [http://www.mathjax.org/ MathJax] program. This renders latex code typed into the page source and allows for copy/paste, scaling, and other features. For a Latex tutorial check [http://en.wikibooks.org/wiki/LaTeX/Mathematics here].
* Groups are only able to edit the page associated with their group.
* When you receive your group login and password you should change your password for security.
* For questions about this site email [mailto:nick.gravish@gmail.com Nick Gravish]

== About this wiki ==

See the [[About]] page for more information. This Wiki is open to the public to view but not to edit. However, we gladly make content available to other schools for non-profit educational use. Some links to copyright-protected references and software are not available to anyone without authentication as a Georgia Tech student or staff.

== Wiki 101 ==

Here is a link to mediawiki [http://en.wikipedia.org/wiki/Wikipedia:Cheatsheet cheatsheet].

Assignments

2012-10-11T14:17:27Z

Alexandros:

==Assignments for 2012==

===Midterm===
The exam consists of four parts: some problems from the book, a numerical exercise, a proposal like we discussed in class, and a wiki site. You must complete all parts to receive full credit.<o:p></o:p>

1. (50%) Problems: 4.3.6, 4.3.10G, 4.5.1, 5.1.1, 5.1.9G, 5.1.10b, 5.2.13, 6.1.2, 6.3.6, 6.5.15, 6.6.8G, 6.7.2, where G denotes problems that must be done by graduate students. Unlike homework sets, you may not discuss these problems with your classmates.

2. (10%) For problem 6.3.6 write a program in Matlab, Octave, python, etc to sketch the phase plane and plot trajectories x(t) and y(t). Compare what you generate to solutions generated in pplane8.m (see http://math.rice.edu/~dfield/index.html). You must work on your own for this problem.

3. (30%) Collaboratively write a 1-3 page project proposal which will summarize the goals of your experiment, discuss experimental design, and cite any relevant literature. We would like these to be written using the LaTeX typesetting language. This can be downloaded and installed freely from http://miktex.org/ and free editors are available on the web as well (http://www.latexeditor.org/ for example).

4. (10%) Create a website for your project. Website content will be edited on the class wiki which is at http://nldlab.gatech.edu. Each group will be responsible for creating a wiki page for their experiment which will contain background information on the phenomena studied. Wiki pages should contain outside references such as journal articles.

=== Assignment 1 ===
Problems are from Strogatz: 2.2.7, 2.3.3, 2.4.2, 2.5.3G, 2.6.2G, 2.8.8, 3.1.1, 3.4.11, 3.4.14, 3.5.6G, 3.6.6. Problems with a G at the end are problems
added for the graduate students. Undergraduates may hand them in for extra credit.

==Assignments for 2011==
=== Assignment 4 ===
HW4: 9.1.4, 9.4.2, 10.2.4, 10.3.7G,11.4.6G,11.3.8,12.1.5, 12.3.2

Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due <del>in class on Tuesday, Nov 29</del> Dec 1st at the beginning of class. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

=== Assignment 3 ===
HW3: 7.3.3, 7.6.15, 8.1.1, 8.1.12G, 8.2.1, 8.2.3, 8.4.4G, 8.4.12

Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Thursday, Nov 10. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

=== Midterm ===
The exam consists of three parts: some problems from the book, a numerical exercise, and a proposal like we discussed in class. You must complete all parts to receive full credit.

1. Problems: 3.5.4, 4.3.6, 5.1.9G, <del>5.2.13</del>, 6.3.6, 6.5.15, 6.6.8G, 6.7.2, where G denotes problems that must be done by graduate students. Unlike homework sets, you may not discuss these problems with your classmates.

2. For problem 6.3.6 write a program in Matlab, Octave, python, etc to sketch the phase plane and plot trajectories x(t) and y(t). Compare what you generate to solutions generated in pplane8.m (see http://math.rice.edu/~dfield/index.html). You must work on your own for this problem.

3. Collaboratively write a 1-3 page project proposal which will summarize the goals of your experiment and cite any relevant literature. We would like these to be written using the LaTeX typesetting language. This can be downloaded and installed freely from http://miktex.org/ and free editors are available on the web as well http://www.latexeditor.org/ for example.

4. Create a website for your project. Website content will be edited on the class wiki which will soon be located at http://nldlab.gatech.edu/w/. Each group will be responsible for creating a wiki page for their experiment which will contain background information on the phenomena studied. Wiki pages should contain outside references such as journal articles. A sample page will be posted.

=== Assignment 2 ===

HW2: 3.5.6G, 3.6.6, 4.1.4, 4.3.3, 4.3.10G, 4.5.1, 5.1.1, 5.1.10b, 5.2.12, 5.2.13G.

Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Tuesday, Sept 27. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

=== Assignment 1 ===

Problems are from Strogatz: 2.2.7, 2.3.3, 2.4.2, 2.5.3G, 2.6.2G, 2.8.8, 3.1.1, 3.4.11, 3.4.14, 3.5.6G, 3.6.6. Problems with a G at the end are problems
added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Tuesday, Sept 13. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.