English

Whispering gallery orbits in Sinai oscillator trap

Chaotic Dynamics 2021-07-07 v1 Dynamical Systems

Abstract

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. It is shown by application of KAM theory that under some natural conditions there exists positive measure of quasiperiodic solutions near the boundary.

Keywords

Cite

@article{arxiv.2104.03357,
  title  = {Whispering gallery orbits in Sinai oscillator trap},
  author = {Ariel Lerman and Vadim Zharnitsky},
  journal= {arXiv preprint arXiv:2104.03357},
  year   = {2021}
}

Comments

11 pages, 4 figures

R2 v1 2026-06-24T00:56:19.538Z