Whispering gallery orbits in Sinai oscillator trap

Ariel Lerman; Vadim Zharnitsky

doi:10.1016/j.physd.2021.132960

Whispering gallery orbits in Sinai oscillator trap

Research output: Contribution to journal › Article › peer-review

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 (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 language	English (US)
Article number	132960
Journal	Physica D: Nonlinear Phenomena
Volume	425
DOIs	https://doi.org/10.1016/j.physd.2021.132960
State	Published - Nov 2021

Keywords

KAM theory
Sinai billiards
Whispering gallery orbits

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

Online availability

10.1016/j.physd.2021.132960

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title = "Whispering gallery orbits in Sinai oscillator trap",

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 (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.",

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author = "Ariel Lerman and Vadim Zharnitsky",

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year = "2021",

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KW - Whispering gallery orbits

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Whispering gallery orbits in Sinai oscillator trap

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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