CHAOS - CLASSICAL AND QUANTUM
EXTRAS

Aug 25 2003, version 10.1.1 HMV
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Chapter 1 Overture
  • C.N. Yang interview, by Kerson Huang (Hong Kong University, July 29, 2000)
    A very personal and in parts hilarious overview of the 20th century physics - should you really be reading this book? Click here for few quotes:


  • Chapter 2 Trajectories
  • An exploration of the Roessler attractor.
    Gabor Simon, simon@nbi.dk (12 jan 2000)
  • 1-week project: Turbulence, and what to do about it?
    in either pdf (447 Kb) or gzipped postscript (1.8 Mb) format.
    Involves analysis of a dynamical system (fixed points, stability, bifurcations) and numerical experimentation with integration of a set of differential equations describing the system.
  • Chapter 3 Maps
  • Physicist's Pinball
    William Benfold's Java applet which presents a Poincaré section of the system, alongside the three discs. The program finds cycles with a desired itinerary and computes the escape rates.
  • A. Prügel-Bennett's simple pinball simulator:
    overview and   c code. (Adam: Benfold's program is superior to this one)
  • Three disk simulator,
    A. Prügel-Bennett's xpinball program that allows you to view orbits and the Poincare section in the three disk billiard. Requires Unix with X11 windows and Motif library.
  • Slaven Peles' stroboscopic map for a driven pendulum,
    y'' + y'/Q + sin(y) = r cos(at),   c code:
    .
  • Chapter 4 Local stability
  • 3-d billiard Jacobians, (Andreas Wirzba, 2 Mar 95)
  • Chapter 5 Transporting densities
    Niels Søndergaard, NSONDERG@nbi.dk (30 aug 1995)
    Chapter 6 Averaging
    Chapter 7 Trace formulas
    Chapter 8 Spectral determinants
    Chapter 9 Why does it work?
    Chapter 10 Qualitative dynamics
    quantum pinball
  • Donal MacKernan: Generalized Markov coarse graining and the observables of chaos, Ph.D. thesis (1997).
  • Stadium symbolic dynamics, An imperfect attempt to exemplify the nontrivial aspects of Markov diagrams, symbol planes, role of symmetry in context of a popular dynamical systems problem. [draft, 13 April 95, 257 KB]
  • Periodic orbit theory: A Study of the Rossler Attractor,
    Joachim Mathiessen, joachim@fys.ku.dk (20 jan 2000)
  • Hard Bunimovich stadium, washbord diffusion
    Jonas Lundbek Hansen, lundbek@kaos.nbi.dk (23 aug 1995) - 235 KB
  • Soft (but not easy) Bunimovich stadium
    Sune Horlyck, HORLYCK@nbi.dk (8 sep 1995) - 544 KB
  • Kai's instructions for soft Bunimovich stadium, in Norwegian, 30 may 1995)
  • Sune Hørlück : A small investigation into the Soft Bunimovich Stadium. (may 1997)
  • Chapter 11 Counting
    Chapter 12 Fixed points, and how to get them
  • Hopf's last hope
  • Chapter 13 Cycle expansions
    • A. Prügel-Bennett's mathematica programs to construct the the dynamical zeta function and Fredholm determinant overview, orbits.m, zeta.m, fredholm.m
    • P. Andrésen's solution of problem 9.2 - construct the dynamical zeta function and Fredholm determinant for a logistic map repeller.
    Chapter ? Applications
    Chapter 14 Why cycle?
    Chapter 15 Thermodynamic formalism
    Chapter 17 Discrete symmetries
    Chapter 18 Deterministic diffusion
    Chapter 21 Semiclassical evolution
    Chapter 22 Semiclassical quantization
    Chapter 23 Semiclassical chaotic scattering
    Chapter 24 Helium atom
    Chapter 25 Diffraction distraction
    Chapter 19 Irrationally winding
    Chapter ?? Border of order
    Chapter 25 Statistical mechanics

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    Predrag Cvitanovic', predrag@nbi.dk