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Regular and Chaotic Dynamics, 2003, Volume 8, Issue 1, Pages 59–66
DOI: https://doi.org/10.1070/RD2003v008n01ABEH000225 (Mi rcd765) 		 
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
Citations (13)
DOI: https://doi.org/10.1070/RD2003v008n01ABEH000225
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
Bibliographic databases:
Document Type: Article
MSC: 37E99, 37B55, 70K70
Language: English
Citation: A. P. Itin, A. I. Neishtadt, “Resonant Phenomena in Slowly Perturbed Elliptic Billiards”, Regul. Chaotic Dyn., 8:1 (2003), 59–66
Citation in format AMSBIB
\Bibitem{ItiNei03}
\by A. P. Itin, A. I. Neishtadt
\paper Resonant Phenomena in Slowly Perturbed Elliptic Billiards
\jour Regul. Chaotic Dyn.
\yr 2003
\vol 8
\issue 1
\pages 59--66
\mathnet{http://mi.mathnet.ru/rcd765}
\crossref{https://doi.org/10.1070/RD2003v008n01ABEH000225}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1963968}
\zmath{https://zbmath.org/?q=an:1075.37518}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2003RCD.....8...59I}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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