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A Short Course on Chaotic Hamiltonian Systems

  • Richard C. Churchill
Part of the NATO ASI Series book series (NSSB, volume 332)

Abstract

The lectures begin with a brief introduction to chaotic dynamics; then rapidly sketch how the ideas apply to Hamiltonian mechanics. Familiarity with Hamilton’s equations, as would be encountered in elementary mechanics courses, is assumed. The treatment of geodesic flows in Section 3 is somewhat in the spirit of symplectic mechanics, but classical notation is emphasized. The presentation is rigorous only in Section 1, which is quite elementary. References for further study are provided.

Keywords

Fractal Dimension Periodic Orbit Hamiltonian System Periodic Point Unstable Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Richard C. Churchill
    • 1
  1. 1.Dept. of Mathamatics, Hunter College and Graduate CenterCUNYNew YorkUSA

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