Symbolic Dynamics and Periodic Orbits for the Cardioid Billiard

  • H. R. Dullinz
  • Published 1997


The periodic orbits of the strongly chaotic cardioid billiard are studied by introducing a binary symbolic dynamics. The corresponding partition is mapped to a topological well-ordered symbol plane. In the symbol plane the pruning front is obtained from orbits running either into or through the cusp. We show that all periodic orbits correspond to maxima of… (More)


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