Billiards: A singular perturbation limit of smooth Hamiltonian flows

V. Rom-Kedar; D. Turaev

doi:10.1063/1.4722010

Billiards: A singular perturbation limit of smooth Hamiltonian flows

V. Rom-Kedar, D. Turaev

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

16 Scopus citations

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 language	English
Article number	026102
Journal	Chaos
Volume	22
Issue number	2
DOIs	https://doi.org/10.1063/1.4722010
State	Published - 4 Apr 2012
Externally published	Yes

ASJC Scopus subject areas

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

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title = "Billiards: A singular perturbation limit of smooth Hamiltonian flows",

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.",

author = "V. Rom-Kedar and D. Turaev",

note = "Funding Information: The authors thank the support of the Israel Science Foundation (Grant No. 273/07). V.R.K. acknowledges the support of the Minerva foundation, D.T. acknowledges the support of Leverhulme Trust Grant No. RPG-279, LMS Grant No. 41039, and the ICL Math. Platform Grant (EPSRC).",

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Billiards: A singular perturbation limit of smooth Hamiltonian flows

Abstract

ASJC Scopus subject areas

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