Billiards: A singular perturbation limit of smooth Hamiltonian flows

Vered Rom-Kedar, D. Turaev

Research output: Contribution to journalArticlepeer-review

Abstract

Nonlinear multi-dimensional Hamiltonian systems that are not near integrable typically have mixed phase space and a plethora of instabilities. Hence, it is difficult to analyze them, to visualize them, or even to interpret their numerical simulations. We survey an emerging methodology for analyzing a class of such systems: Hamiltonians with steep potentials that limit to billiards.

Original languageEnglish
Article number026102
JournalChaos
Volume22
Issue number2
DOIs
StatePublished - 4 Apr 2012

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Statistical and Nonlinear Physics
  • General Physics and Astronomy
  • Mathematical Physics

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