Prevalence of marginally unstable periodic orbits in chaotic billiards

E. G. Altmann*, T. Friedrich, A. E. Motter, H. Kantz, A. Richter

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

The dynamics of chaotic billiards is significantly influenced by coexisting regions of regular motion. Here we investigate the prevalence of a different fundamental structure, which is formed by marginally unstable periodic orbits and stands apart from the regular regions. We show that these structures both exist and strongly influence the dynamics of locally perturbed billiards, which include a large class of widely studied systems. We demonstrate the impact of these structures in the quantum regime using microwave experiments in annular billiards.

Original languageEnglish (US)
Article number016205
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume77
Issue number1
DOIs
StatePublished - Jan 24 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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