nldlab - User contributions [en]

Group 2 2023

2023-04-18T16:07:16Z

DanGoldman: Created page with " '''A motor driven double pendulum system''' ''Group members: Linyuan Cui, Mitch Cascia, Madison Hales''  * Proposal presentation slides * Project presentation slides * Paper   == Abstract == == Motivation == == Theory ==..."

'''A motor driven double pendulum system'''

''Group members: Linyuan Cui, Mitch Cascia, Madison Hales''


* [[Media: NAME.pdf | Proposal presentation slides]]
* [[Media: NAME.pdf | Project presentation slides]]
* [[Media: NAME.pdf‎ | Paper]]





== Abstract ==

== Motivation ==

== Theory ==

== Method ==

== Results and Conclusions ==

== Figures/Vides ==

== References ==

[1] ...

Group 1 2023

2023-04-18T16:06:24Z

DanGoldman: Created page with " '''The Nonlinear Dynamics of Puppy Pinwheels''' ''Group members: Benjamin Seleb, Marc Guasch, Somil Joshi''  * Proposal presentation slides * Project presentation slides * Paper   == Abstract == == Motivation == == Theory..."

'''The Nonlinear Dynamics of Puppy Pinwheels'''

''Group members: Benjamin Seleb, Marc Guasch, Somil Joshi''


* [[Media: NAME.pdf | Proposal presentation slides]]
* [[Media: NAME.pdf | Project presentation slides]]
* [[Media: NAME.pdf‎ | Paper]]





== Abstract ==

== Motivation ==

== Theory ==

== Method ==

== Results and Conclusions ==

== Figures/Vides ==

== References ==

[1] ...

MediaWiki:Sidebar

2023-04-18T16:00:26Z

DanGoldman:

About

2023-04-18T15:35:07Z

DanGoldman:

This page was created by [http://people.seas.harvard.edu/~gravish/index.html Nick Gravish] for the Nonlinear Dynamics & Chaos course taught by [http://crablab.gatech.edu/ Dr. Daniel Goldman] in the [http://www.physics.gatech.edu Physics department] at [http://www.gatech.edu Georgia Institute of Technology]. Site administrator can be reached [mailto:daniel.goldman@physics.gatech.edu here].

Syllabus

2023-04-18T15:31:51Z

DanGoldman:

__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 

'''TA:'''

Ellen Liu 
'''Office:''' Howey (office hours TBD) 
'''E-mail:''' eliu82@gatech.edu 

==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, 2-3:15PM

Class: Howey L5
Lab: W203

==Homework and Grading==

Homework assignments will be posted on the web every Monday and will be due next Monday. You can discuss problems with each other, but the solutions have to be executed and submitted individually. In general you are expected to comply with the academic honor code. There will also be one midterm exam and a final. The overall grade for the course will be based on the homeworks (~10%), mid-term exam (~20%), final exam (~20%) and a final project (~50%).

==Books==

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

"Pattern Formation and Dynamics in Nonequilibrium Systems", Cross & Greenside

==Course Topics==

Geometrical analysis of ODEs and bifurcations

Maps

Fractals

Pattern formation

Hands-on experiment/simulation/theory via virtual "microlabs"

==Important dates==

Midterm exam (take home): March 13, due March 17

Final project talks: April 19,24

Final exam due (report and problems): May 2

==Course Outline & Schedule==

Jan 9: Lecture 1, intro to the subject

Jan 11: Lecture 2, intro to 1D systems, geometric methods to solve ODEs (Chap 2)

Jan 18: Lecture 2, continued from before, class project discussion (Chap 2)

Jan 23: Lecture 3, Linear stability analysis, existence and uniqueness, finite time singularities (Chap 2)

Jan 25: Lecture 4, numerical methods for solving ODEs (Chap 2)

Jan 30: Lecture 5, intro to bifurcations, (Chap 3)

Feb 1: Lecture 6, imperfect bifurcations (Chap 3)

Feb 6: Lecture 7, flows on the circle/entrainment (Chap 4)

Feb 8: Lecture 8, 2D systems (linear) (Chap 5)

Feb 13: Lecture 9, Nonlinear 2D systems (Chap 6)

Feb 15: Lecture 10, Conservative nonlinear 2D systems (Chap 6)

Feb 20: Lecture 11, Limit cycles (Chap 7)

Feb 22: Lecture 12, Relaxation and weakly nonlinear oscillators, perturbation theory (Chap 7)

Feb 27: Lecture 13, Bifurcations in 2D (Chap 8)

Mar 1: Lecture 14, Quasiperiodicity, Poincare maps, Floquet theory (Chap 8)

Main Page

2023-04-18T15:25:38Z

DanGoldman:

[[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 TA is [https://qbios.gatech.edu/ellen-liu Ellen Liu] from the [https://sponberg.gatech.edu/ Sponberg lab]. Wiki is currently maintained by [https://qbios.gatech.edu/ellen-liu Ellen Liu]. 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 '''2023''' 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 2020 ==

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Project
! Files
|-
| Fire-front modelling with matches
| [[Media: Team Fire.pdf |Presentation]]. [[Media: Fire Benjamin Musci.pdf | Final report 1]], [[Media: Match Lezheng Fang.pdf | Final report 2]], [[Media: Match Mateo Reynoso.pdf | Final report 3]]
|-
| Locally-induced Faraday waves
| [[Media: Team Faraday.pdf |Presentation]]. [[Media:Faraday Alejandro Escontrela.pdf | Final report 1]], [[Media: Faraday Ashley Barnes.pdf | Final report 2]], [[Media: Faraday Steven Tarr.pdf | Final report 3]]
|-
| Vortex ring rormation
| [[Media: Team Vortex.pdf |Presentation]]. [[Media: Vortex Jaesung Jeon.pdf | Final report 1]], [[Media: Vortex Kyle Cahill.pdf | Final report 2]], [[Media: Vortex Peter Lebedev.pdf | Final report 3]]
|-
| Synchronization of Rijke tubes
| [[Media: Team Rijke.pdf |Presentation]]. [[Media: Rijke Mitchell Passarelli.pdf | Final report 1]], [[Media: Rijke Varun Sharma.pdf | Final report 2]]
|-
| Metronome synchronization
| [[Media: Team Metronome.pdf |Presentation]]. [[Media: Metronome Aris Kanellopoulos.pdf | Final report 1]], [[Media: Metronome Filippos Fotiadis.pdf | Final report 2]], [[Media: Metronome NICK MARIOS KOKOLAKIS.pdf | Final report 3]]
|}

== Final papers / presentations 2014 ==

{|cellpadding="5" cellspacing="0" border="1" width="60%"
! Project
! Files
|-
|[[Group_1_2014 | Chiral Object]]
|[[Media: Chiral_presentation.pdf | Presentation]]. [[Media: Separation-chiral-particles.pdf | Final report]]
|-
| [[Group_2_2014 | Faraday Instability]]
| [[Media: Faraday2014.pdf | Presentation]]. [[Media: Faraday.pdf| Final report]]
|-
| [[Group_3_2014 | Astrojax Pendulum]]
| [[Media: Astrojax Pendulum.pdf | Presentation]]. [[Media: NLD.pdf | Final report]]
|-
| [[Group_4_2014 | Jump on Granular Media]]
| [[Media: Jump2014.pdf | Presentation]]. [[Media: Jumping-aerated-granular.pdf | Final report]]
|-
| [[Group_5_2014 | Pendulum Synchronization]]
| [[Media: Pendulum.pdf | Final report]]
|}

== 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 Oscillator]]
|[[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

2011-10-11T12:58:26Z

DanGoldman: