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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Published in | Physics letters. A Vol. 291; no. 2; pp. 133 - 138 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
03.12.2001
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Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0375-9601 1873-2429 |
DOI: | 10.1016/S0375-9601(01)00670-3 |