Whispering gallery orbits in Sinai oscillator trap

Ariel Lerman, Vadim Zharnitsky

Research output: Contribution to journalArticlepeer-review


Experimental realizations of trapping Bose–Einstein condensate lead to a Hamiltonian system of a classical particle bouncing off a convex scatterer in the field of an attracting potential (Ermann et al., 2016). It is shown by application of KAM theory that under some natural conditions there exists positive measure of quasiperiodic solutions near the scatterer's boundary.

Original languageEnglish (US)
Article number132960
JournalPhysica D: Nonlinear Phenomena
StatePublished - Nov 2021


  • KAM theory
  • Sinai billiards
  • Whispering gallery orbits

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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