Physics 429: Introduction to Nonlinear Dynamics
SUNY Cortland
Fall 2017
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Instructor
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Meeting
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Text
- Title: Nonlinear Dynamics and Chaos
- Author: Steven Strogatz
- Edition: 2nd
- ISBN: 978-0-8133-4910-7
- Homework
- Course Supplementals
Demonstrations
- A paper
about dripping faucets.
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Video
of a primitive water wheel that exhibits chaos (and
follows Lorenz's equations)
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Video
of a circuit implimentation of a van Der Pol
oscillator.
Simulation software
- vPython is a useful tool for both
integrating and visualizing systems. vPython is built
on python 2.7.x. Follow the download link on the
left-hand side of the page to install the proper
version of python 2 and vPython.
- Desmos
is a useful online resource for graphing
functions. Note that f(x) can be composed once
defined and that f'(x) is df/dx.
- GeoGebra's
cobweb plotter is useful for exploring dynamicss
on maps [i.e., x_n+1=f(x_n)].