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Below is a list experiments demonstrating the phenomena of nonlinear dynamics. For the student led experiments groups should choose one from below of supply an alternative experiment with a short proposal arguing for its applicability.  
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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Revision as of 21:37, 28 November 2011

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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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

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

Chua's circuit

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.

Others

http://ajp.aapt.org/resource/1/ajpias/v72/i4/p503_s1?isAuthorized=no

Lorenz waterwheel

The Lorenzian 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.

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

Billiard / pinball chaos

Dripping faucet

Inelastic bouncing ball