This article is cited 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.

MSC: 37E99, 37B55, 70K70

Received: 19.11.2002

Language: English

DOI: 10.1070/RD2003v008n01ABEH000225

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