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Below is a list | Below is a list of possible nonlinear dynamics experiments. For the student led experiments groups should choose one from below of supply an alternative experiment with a short proposal arguing for its applicability. | ||
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== | == Completely inelastic bouncing ball == | ||
[[Group_3 | Group project from 2011]] | |||
== | == Metronome or biological synchronization == | ||
[[Group_5 | Metronome synchronization]] | |||
== | == Dynamics of a hopping robot == | ||
http://arxiv.org/abs/1208.6289 | |||
=== | == Mechanical time delay oscillator == | ||
http://ajp.aapt.org/resource/1/ajpias/v62/i3/p227_s1 | |||
== Fluid flow oscillations == | |||
http://ajp.aapt.org/resource/1/ajpias/v75/i10/p893_s1?isAuthorized=no | |||
== Stick-slip dynamics of dry friction == | |||
http://pre.aps.org/abstract/PRE/v49/i6/p4973_1 | |||
http://www.nature.com/nature/journal/v367/n6463/abs/367544a0.html | |||
== Fracture fractals == | |||
http://pre.aps.org/abstract/PRE/v67/i6/e066209 | |||
http://prl.aps.org/abstract/PRL/v67/i4/p457_1 | |||
== Chemical oscillator == | |||
The B-Z reaction is described [http://en.wikipedia.org/wiki/Belousov%E2%80%93Zhabotinsky_reaction here] | |||
== Stabilizing a unicycle == | |||
http://ajp.aapt.org/resource/1/ajpias/v66/i7/p589_s1?isAuthorized=no | |||
== Plastic bottle oscillator == | |||
http://ajp.aapt.org/resource/1/ajpias/v75/i10/p893_s1?isAuthorized=no | |||
== Spinning hoop or bead on a hoop bifurcations == | |||
http://ajp.aapt.org/resource/1/ajpias/v71/i10/p999_s1?isAuthorized=no | |||
== Damped driven pendulum == | |||
http://ajp.aapt.org/resource/1/ajpias/v73/i12/p1122_s1?isAuthorized=no | |||
== Chaotic circuits == | |||
''From Wikipedia, the free encyclopedia'' | |||
Chua's circuit is a simple electronic circuit that exhibits classic chaos theory behavior. It was introduced in 1983 by Leon O. Chua, who was a visitor at Waseda University in Japan at that time. The ease of construction of the circuit has made it a ubiquitous real-world example of a chaotic system, leading some to declare it '''a paradigm for chaos'''. | |||
http://ajp.aapt.org/resource/1/ajpias/v72/i4/p503_s1?isAuthorized=no | |||
== Lorenz waterwheel == | |||
The Lorenz waterwheel is a physical device which is modeled by the Lorenz equations. The equations take the name of [http://en.wikipedia.org/wiki/Edward_N._Lorenz Ed Lorenz] the scientist who discovered them while studying weather dynamics. | |||
[http://www.youtube.com/watch?v=zhOBibeW5J0 YouTube video of water wheel] | |||
== Faraday waves == | |||
Faraday waves are the observed phenomena when a fluid with a free surface is vibrated sinusoidally above critical shaking parameters. Faraday waves are a classic example of a pattern forming system and display many features associated with nonlinear dynamics such as bifurcations and chaos. | |||
== Vertically vibrated inverted pendulum == | |||
A pendulum can be stabilized in the "upside down" position by vertically oscillating the pendulum base. In this lab we will explore the transition to inverted stability. | |||
== Double pendulum == | |||
Wikipedia article [http://en.wikipedia.org/wiki/Double_pendulum here] | |||
Latest revision as of 10:25, 11 September 2012
Below is a list of possible nonlinear dynamics experiments. For the student led experiments groups should choose one from below of supply an alternative experiment with a short proposal arguing for its applicability.
hline
Completely inelastic bouncing ball
Metronome or biological synchronization
Dynamics of a hopping robot
http://arxiv.org/abs/1208.6289
Mechanical time delay oscillator
http://ajp.aapt.org/resource/1/ajpias/v62/i3/p227_s1
Fluid flow oscillations
http://ajp.aapt.org/resource/1/ajpias/v75/i10/p893_s1?isAuthorized=no
Stick-slip dynamics of dry friction
http://pre.aps.org/abstract/PRE/v49/i6/p4973_1
http://www.nature.com/nature/journal/v367/n6463/abs/367544a0.html
Fracture fractals
http://pre.aps.org/abstract/PRE/v67/i6/e066209
http://prl.aps.org/abstract/PRL/v67/i4/p457_1
Chemical oscillator
The B-Z reaction is described here
Stabilizing a unicycle
http://ajp.aapt.org/resource/1/ajpias/v66/i7/p589_s1?isAuthorized=no
Plastic bottle oscillator
http://ajp.aapt.org/resource/1/ajpias/v75/i10/p893_s1?isAuthorized=no
Spinning hoop or bead on a hoop bifurcations
http://ajp.aapt.org/resource/1/ajpias/v71/i10/p999_s1?isAuthorized=no
Damped driven pendulum
http://ajp.aapt.org/resource/1/ajpias/v73/i12/p1122_s1?isAuthorized=no
Chaotic circuits
From Wikipedia, the free encyclopedia Chua's circuit is a simple electronic circuit that exhibits classic chaos theory behavior. It was introduced in 1983 by Leon O. Chua, who was a visitor at Waseda University in Japan at that time. The ease of construction of the circuit has made it a ubiquitous real-world example of a chaotic system, leading some to declare it a paradigm for chaos.
http://ajp.aapt.org/resource/1/ajpias/v72/i4/p503_s1?isAuthorized=no
Lorenz waterwheel
The Lorenz waterwheel is a physical device which is modeled by the Lorenz equations. The equations take the name of Ed Lorenz the scientist who discovered them while studying weather dynamics.
Faraday waves
Faraday waves are the observed phenomena when a fluid with a free surface is vibrated sinusoidally above critical shaking parameters. Faraday waves are a classic example of a pattern forming system and display many features associated with nonlinear dynamics such as bifurcations and chaos.
Vertically vibrated inverted pendulum
A pendulum can be stabilized in the "upside down" position by vertically oscillating the pendulum base. In this lab we will explore the transition to inverted stability.
Double pendulum
Wikipedia article here