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This article is cited in 13 scientific papers (total in 13 papers)
Dynamics of billiards
Resonant Phenomena in Slowly Perturbed Elliptic Billiards
A. P. Itin, A. I. Neishtadt Space Research Institute,
Russian Academy of Sciences,
Profsoyuznaya Str. 84/32, 117997 Moscow, Russia
Abstract:
We consider an elliptic billiard whose shape slowly changes. During slow evolution of the billiard certain resonance conditions can be fulfilled. We study the phenomena of capture into a resonance and scattering on a resonance which lead to the destruction of the adiabatic invariance in the system.
Received: 19.11.2002
Citation:
A. P. Itin, A. I. Neishtadt, “Resonant Phenomena in Slowly Perturbed Elliptic Billiards”, Regul. Chaotic Dyn., 8:1 (2003), 59–66
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https://www.mathnet.ru/eng/rcd765 https://www.mathnet.ru/eng/rcd/v8/i1/p59
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Abstract page: | 122 |
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