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Regular and Chaotic Dynamics, 2009, Volume 14, Issue 2, Pages 237–247
DOI: https://doi.org/10.1134/S156035470902004X (Mi rcd549) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Resonances in Systems of Two Weakly Coupled Oscillators

A. D. Morozov, R. E. Kondrashov

Department of Mathematics and Mechanics, Nizhny Novgorod State University, 603950 Nizhny Novgorod, Russia
Citations (2)
DOI: https://doi.org/10.1134/S156035470902004X
Abstract: Assuming that two weakly coupled oscillators are essentially nonlinear we construct the most suitable form of a shortened 3-dimensional system which describes behavior of solutions inside non-degenerate resonance zones. We analyze a model system of that kind and establish the existence of limit cycles of different types and also the existence of nonregular attractors which are explained by the existence of saddle-focus loops.
Keywords: oscillators, resonances, cycles, equilibrium, attractors, average.
Received: 12.01.2009
Accepted: 19.02.2009
Bibliographic databases:
Document Type: Article
MSC: 34C15, 34C28, 37G35
Language: English
Citation: A. D. Morozov, R. E. Kondrashov, “On Resonances in Systems of Two Weakly Coupled Oscillators”, Regul. Chaotic Dyn., 14:2 (2009), 237–247
Citation in format AMSBIB
\Bibitem{MorKon09}
\by A. D. Morozov, R. E. Kondrashov
\paper On Resonances in Systems of Two Weakly Coupled Oscillators
\jour Regul. Chaotic Dyn.
\yr 2009
\vol 14
\issue 2
\pages 237--247
\mathnet{http://mi.mathnet.ru/rcd549}
\crossref{https://doi.org/10.1134/S156035470902004X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2505427}
\zmath{https://zbmath.org/?q=an:1229.34055}
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  • https://www.mathnet.ru/eng/rcd/v14/i2/p237
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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