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Regular and Chaotic Dynamics, 2014, Volume 19, Issue 6, Pages 681–693
DOI: https://doi.org/10.1134/S1560354714060069 (Mi rcd191) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Hyperbolic Sets near Homoclinic Loops to a Saddle for Systems with a First Integral

Dmitry Turaevab

a Lobachevsky State University of Nizhny Novgorod, pr. Gagarina 23, Nizhny Novgorod, 603950 Russia
b Imperial College, London, SW7 2AZ UK
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DOI: https://doi.org/10.1134/S1560354714060069
Abstract: A complete description of dynamics in a neighborhood of a finite bunch of homoclinic loops to a saddle equilibrium state of a Hamiltonian system is given.
Keywords: Hamiltonian system, nonintegrability and chaos, resonance crossing, Arnold diffusion.
Funding agency Grant number
Russian Science Foundation 14-41-00044
The work was supported by RSF grant 14-41-00044
Received: 01.10.2014
Accepted: 14.10.2014
Bibliographic databases:
Document Type: Article
MSC: 37J30, 37J40, 37D05, 37C29
Language: English
Citation: Dmitry Turaev, “Hyperbolic Sets near Homoclinic Loops to a Saddle for Systems with a First Integral”, Regul. Chaotic Dyn., 19:6 (2014), 681–693
Citation in format AMSBIB
\Bibitem{Tur14}
\by Dmitry~Turaev
\paper Hyperbolic Sets near Homoclinic Loops to a Saddle for Systems with a First Integral
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 6
\pages 681--693
\mathnet{http://mi.mathnet.ru/rcd191}
\crossref{https://doi.org/10.1134/S1560354714060069}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3284608}
\zmath{https://zbmath.org/?q=an:06507826}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000345996200006}
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  • https://www.mathnet.ru/eng/rcd/v19/i6/p681
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:42
     
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