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Periodic orbits in magnetic billiards

  • L.G.G.V. Dias da Silva
  • M.A.M. de Aguiar

Abstract:

We propose a simple method to calculate periodic orbits in two-dimensional systems with no symbolic dynamics. The method is based on a line by line scan of the Poincaré surface of section and is particularly useful for billiards. We have applied it to the Square and Sinai's billiards subjected to a uniform orthogonal magnetic field and we obtained about 2000 orbits for both systems using absolutely no information about their symbolic dynamics.

PACS. 05.45.-a Nonlinear dynamics and nonlinear dynamical systems - 05.45.Pq Numerical simulations of chaotic models - 05.45.Mt Semiclassical chaos (“quantum chaos") 

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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2000

Authors and Affiliations

  • L.G.G.V. Dias da Silva
    • 1
  • M.A.M. de Aguiar
    • 1
  1. 1.Instituto de Física “Gleb Wataghin”, Universidade Estadual de Campinas (UNICAMP), Caixa Postal 6165, 13083-970 Campinas, BrazilBR

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