CHAOS, AND WHAT TO DO ABOUT IT
-----------------------------------------------------------
Georgia Tech PHYS 7123 Fall semester 2001
Predrag Cvitanovic'
Lecture 4: 11:05-12:25 Tue Aug 28 2001 in Howey S104
Trajectories
------------
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:
----------
(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
-------------------------------------------------------------------
Lecture 5: 11:05-12:25 Thu, Aug 30 in Howey S104
-------------------------------------------------------------------
Predrag Cvitanovic'
404/385-2502 office, Howey W501A
404/881-6006 home
predrag.cvitanovic@physics.gatech.edu
www.cns.gatech.edu/~predrag