NONLINEAR DYNAMICS: QUANTUM CHAOS  
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	Georgia Tech PHYS 7224			Spring semester 2002  
	Predrag Cvitanovic'

	Lecture 15         Thu, Feb 28 2002 12:05-13:25 in Howey S106

Billiard dynamics
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Stability of billiard flows

Reading:
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	Classical and Quantum Chaos	
        ---    www.nbi.dk/ChaosBook/postscript.html

	best not to print yet (but browse) 
chapter 4 - Local stability

Problem set:
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Exer 3.7 Pinball simulator
	write a pinball simulator (a particle running between 3 
	equidistant disks in the plane), draw few trajectories in
	the configuration space, and in the Poincare section (disk
	perimeter, parallel velocity at impact) plane.

Exer 3.8 Pinball repeller (optional)

Exer 4.3 Fundamental domain fixed points

Exer 4.4 Fundamental domain 2-cycle (optional)

2) write a [2x2] Jacobian matrix routine for the above simulator

3) test it against analytic result for the 2-disk bouncing 
   periodic orbit.

due in stages 
	- progress report (send me an e-mail with plots attached)
	  by next thursday,
	- running simulator by

Tue, Mar 12 2002   

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next class Tue Mar 12 2002