CHAOS, AND WHAT TO DO ABOUT IT
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Georgia Tech PHYS 7224 spring 2005
Predrag Cvitanovic'
Lecture 4: 09:35-10:55 Thu 20 in Howey S104
Trajectories
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We start out by a recapitulation of the basic notions of dynamics.
Our aim is narrow; keep the exposition focused on prerequsites to the
applications to be developed in this text. I assume that you
are familiar with the dynamics on the level of introductory texts
such as Strogatz, and concentrate here on developing
intuition about what a dynamical system can do.
It will be a coarse brush sketch -
the full description of all possible behaviors of dynamical systems is
anyway beyond human ken.
Reading:
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Classical and Quantum Chaos --- ChaosBook.org
chapters 2, 3
Exercises:
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The object is to get used to using numerical techniques to explore dynamical
systems:
2.4) Runge-Kutta or any other integration
2.5) Rossler system (if Poincare map too hard, postpone that part)
then, either (easy):
2.12) How unstable is the H\'enon attractor?
or (will need this later anyway):
2.13) A pinball simulator
due Thu Sept 6 at 12:25