CHAOS, AND WHAT TO DO ABOUT IT 
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	Georgia Tech PHYS 7123			 Fall semester 2001  
	Predrag Cvitanovic'

	Lecture 4:         11:05-12:25 Tue Aug 28 2001 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:
--------
	Classical and Quantum Chaos	---    www.nbi.dk/ChaosBook
	chapter 2 (do not print out a hard copy just yet)

Exercises:
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	(use web version of Aug 30, not the older ones)
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 

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	Lecture 5:         11:05-12:25 Thu, Aug 30 in Howey S104
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		                Predrag Cvitanovic'
			        404/385-2502  office, Howey W501A
				404/881-6006  home
				predrag.cvitanovic@physics.gatech.edu
		                www.cns.gatech.edu/~predrag