Resonant phenomena in slowly perturbed rectangular billiards

We consider a slowly rotating rectangular billiard with slowly moving borders. We use methods of the canonical perturbation theory to describe the dynamics of a billiard particle. In the process of slow evolution certain resonance conditions can be satisfied. We study the phenomena of scattering on...

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Bibliographic Details
Published inPhysics letters. A Vol. 291; no. 2; pp. 133 - 138
Main Authors Itin, A.P., Neishtadt, A.I., Vasiliev, A.A.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 03.12.2001
Subjects
Adiabatic invariants
Billiards
Perturbation theory
Perturbation theory
Adiabatic invariants
Billiards
05.45.+b
03.20.+i
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Summary:We consider a slowly rotating rectangular billiard with slowly moving borders. We use methods of the canonical perturbation theory to describe the dynamics of a billiard particle. In the process of slow evolution certain resonance conditions can be satisfied. We study the phenomena of scattering on a resonance and capture into a resonance. These phenomena lead to destruction of adiabatic invariance in the system.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(01)00670-3