CHAOS, AND WHAT TO DO ABOUT IT / homework teams
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	Georgia Tech PHYS 7224			fall 2007  

						Homework Assignment #2
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						due Tue, Sep 4

Exercises
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Without numerical simulations there is no exploration of dynamics:

	2.6 program Runge-Kutta (or any other integrator)
	2.7 integrate numerically Rossler system using your integrator
      3.1 construct a Poincare section for the Rossler system

Analytic exercises:
	2.8 equilibria of Rossler

Bonus points:
	2.9 Integrate this?
	3.2 A return Poincare map for Rossler
	3.4 Henon fixed points
	3.7 Fixed points of maps

	www.cns.gatech.edu/~predrag/courses/PHYS-7224-07/duedates.html

Homework teams (optional)
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Please self-organize into homework teams of two or three
students each in order to share the coding/debugging for numerical
exercises (here 2.6, 2.7 and 3.1), and let me know who is on which
team, and which programming languages you know:

  www.cns.gatech.edu/~predrag/courses/PHYS-7224-07/homeworkTeams


Slaven Peles' Re. exer 3.1 (optional) 
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An example of a Poincare section is the code which calculates
stroboscopic map for a driven pendulum,
	  ChaosBook.org/extras/Peles/pendulum.c 
Perhaps you can modify to calculate Poincare map for the Rossler system.

You need GNU Scientific Library (GSL) package installed on your 
computer to compile the code. It is installed on a several machines 
in physics graduate student computer lab (Howey building, ground floor).
Check
http://www.cns.gatech.edu/~predrag/courses/PHYS-7224-07/info.html
for more on GSL and Quantian.