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Regular and Chaotic Dynamics, 2014, Volume 19, Issue 4, Pages 474–482
DOI: https://doi.org/10.1134/S1560354714040030 (Mi rcd174) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On Bifurcations in Degenerate Resonance Zones

Albert D. Morozov

Department of Mathematics and Mechanics, Lobachevsky State University of Nizhny Novgorod, pr. Gagarina 23, Nizhny Novgorod, 603950 Russia
Citations (8)
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DOI: https://doi.org/10.1134/S1560354714040030
Abstract: Bifurcations in degenerate resonance zones for Hamitonian systems with 3/2 degrees of freedom close to nonlinear integrable ones and for symplectic maps of a cylinder are discussed.
Keywords: resonances, degenerate resonances, bifurcations, Hamiltonian systems, averaged systems, separatrix, vortex pairs, symplectic maps.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00589
14-01-00344
Ministry of Education and Science of the Russian Federation 02.B.49.21.0003
The work was partially supported by the RFFR grants 13-01-00589, 14-01-00344 and the grant (the agreement of August, 2013 No. 02.B.49.21.0003 between The Ministry of education and science of the Russian Federation and Lobachevsky State University of Nizhni Novgorod).
Received: 28.01.2014
Accepted: 01.04.2014
Bibliographic databases:
Document Type: Article
MSC: 34C15, 34C28, 37G35
Language: English
Citation: Albert D. Morozov, “On Bifurcations in Degenerate Resonance Zones”, Regul. Chaotic Dyn., 19:4 (2014), 474–482
Citation in format AMSBIB
\Bibitem{Mor14}
\by Albert~D.~Morozov
\paper On Bifurcations in Degenerate Resonance Zones
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 4
\pages 474--482
\mathnet{http://mi.mathnet.ru/rcd174}
\crossref{https://doi.org/10.1134/S1560354714040030}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3240980}
\zmath{https://zbmath.org/?q=an:1335.37037}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000340380900003}
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  • https://www.mathnet.ru/eng/rcd/v19/i4/p474
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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