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Regular and Chaotic Dynamics, 2006, Volume 11, Issue 2, Pages 259–268
DOI: https://doi.org/10.1070/RD2006v011n02ABEH000349 (Mi rcd672) 		 
On the 70th birthday of L.P. Shilnikov

To the theory of coupled oscillations passing through the resonance

A. A. Karabanova, A. D. Morozovb

a Department of Mathematics, Komi Science Center, Ural Division of RAS, 3a Chernov Street, Syktyvkar 167982, Komi, Russia
b Department of Mathematics and Mechanics, Nizhny Novgorod State University, 603950 Nizhny Novgorod, Russia
DOI: https://doi.org/10.1070/RD2006v011n02ABEH000349
Abstract: The problem of coupled oscillations is considered in the case when a stable equilibrium of a globally averaged system passes through a resonance curve. Questions of persistence of invariant tori and transition to a self-synchronization are particularly discussed.
Keywords: near-integrable systems, coupled oscillations, resonances, self-synchronization.
Received: 26.07.2005
Accepted: 15.11.2005
Bibliographic databases:
Document Type: Article
MSC: 34C15, 34C28, 37G35, 70K30
Language: English
Citation: A. A. Karabanov, A. D. Morozov, “To the theory of coupled oscillations passing through the resonance”, Regul. Chaotic Dyn., 11:2 (2006), 259–268
Citation in format AMSBIB
\Bibitem{KarMor06}
\by A. A. Karabanov, A. D. Morozov
\paper To the theory of coupled oscillations passing through the resonance
\jour Regul. Chaotic Dyn.
\yr 2006
\vol 11
\issue 2
\pages 259--268
\mathnet{http://mi.mathnet.ru/rcd672}
\crossref{https://doi.org/10.1070/RD2006v011n02ABEH000349}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2245081}
\zmath{https://zbmath.org/?q=an:1164.34397}
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