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Regular and Chaotic Dynamics, 1997, Volume 2, Issue 3-4, Pages 106–123
DOI: https://doi.org/10.1070/RD1997v002n04ABEH000051 (Mi rcd1013) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the 60th birthday of V.I.Arnold

On two-dimensional analitical area-preserving diffeomorphisms with a countable set of elliptic periodic points of stable type

S. V. Gonchenko, L. P. Shilnikov

Research Institute of Applied Mathematics and Cybernetics at the Nizhny Novgorod State University (NII PMK), 603005, Nizhny Novgorod, ul. Ulyanova, 10
Citations (3)
DOI: https://doi.org/10.1070/RD1997v002n04ABEH000051
Abstract: We consider two-dimensional analitical area-preserving diffeomorphisms that have structurally unstable symplest heteroclinic cycles. We find the conditions when diffeomorphisms under consideration possess a countable set of periodic elliptic points of stable type.
Received: 24.11.1997
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Gonchenko, L. P. Shilnikov, “On two-dimensional analitical area-preserving diffeomorphisms with a countable set of elliptic periodic points of stable type”, Regul. Chaotic Dyn., 2:3-4 (1997), 106–123
Citation in format AMSBIB
\Bibitem{GonShi97}
\by S.~V.~Gonchenko, L.~P.~Shilnikov
\paper On two-dimensional analitical area-preserving diffeomorphisms with a countable set of elliptic periodic points of stable type
\jour Regul. Chaotic Dyn.
\yr 1997
\vol 2
\issue 3-4
\pages 106--123
\mathnet{http://mi.mathnet.ru/rcd1013}
\crossref{https://doi.org/10.1070/RD1997v002n04ABEH000051}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1702342}
\zmath{https://zbmath.org/?q=an:1083.37524}
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    • This publication is cited in the following 3 articles:
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