• Periodic orbits in polygonal billiards

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    • Keywords


      Polygonal billiards; periodic orbits; proliferation law; statistics

    • Abstract


      We review some properties of periodic orbit families in polygonal billiards and discuss in particular a sum rule that they obey. In addition, we provide algorithms to determine periodic orbit families and present numerical results that shed new light on the proliferation law and its variation with the genus of the invariant surface. Finally, we deal with correlations in the length spectrum and find that long orbits display Poisson fluctuations.

    • Author Affiliations


      Debabrata Biswas1 2

      1. Center for Chaos and Turbulence Studies, Niels Bohr Institute Blegdamsvej 17, Copenhagen Ø, Denmark
      2. Theoretical Physics Division, Bhabha Atomic Research Centre, Bombay - 400 085, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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