NONLINEAR DYNAMICS: QUANTUM CHAOS ----------------------------------------------------------- Georgia Tech PHYS 7224 Spring semester 2002 Predrag Cvitanovic' Lecture 15 Thu, Feb 28 2002 12:05-13:25 in Howey S106 Billiard dynamics ----------------- Stability of billiard flows Reading: -------- Classical and Quantum Chaos --- www.nbi.dk/ChaosBook/postscript.html best not to print yet (but browse) chapter 4 - Local stability Problem set: ------------ 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 -------------------------------------------------------------- next class Tue Mar 12 2002