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

	Lecture 6:         11:05-12:25 Thu Sep 4 2001 in Howey S104 
	Lecture 7:         11:05-12:55 Thu Sep 6 2001 in Howey S104 

Local Stability
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Reading:
--------
	Classical and Quantum Chaos	---    www.nbi.dk/ChaosBook
	you can print out now chapters 2 and 3,
	from chapter 9 print only the section 9.3.1 

Exercises:
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	(use course homepage version of Sep 7, not the older ones)
3.3) How unstable is the Henon attractor?
	(a) Evaluate numerically  the Lyapunov exponent
	    by iterating the Henon map for a=1.4, b=0.3 
	    (the answer should be close to 0.41)
 
	(b) Evaluate now numerically  the Lyapunov exponent for a
	    minutely different Henon map with a=1.39945219, b=0.3.
 
3.4) 3-disk fundamental domain fixed points
	Use the Jacobian matrix formula for billiards
	to compute analytically the periods and the expanding
	eigenvalues of the two fixed points.
 
3.5) (Optional:) 3-disk fundamental domain 2-cycle
	Compute the  2-cycle stability.
 
3.6) Birkhoff coordinates
	Prove that the Birkhoff coordinates are phase-space volume
	preserving.


due Thu Sept 13 at 12:55 

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	Lecture 8:         11:05-12:25 Tue, Sep 11 in Howey S10?
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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