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Regular and Chaotic Dynamics, 2009, Volume 14, Issue 1, Pages 116–136
DOI: https://doi.org/10.1134/S1560354709010080 (Mi rcd542) 		 
This article is cited in 19 scientific papers (total in 19 papers)

JÜRGEN MOSER – 80

On Cascades of Elliptic Periodic Points in Two-Dimensional Symplectic Maps with Homoclinic Tangencies

M. S. Gonchenkoa, S. V. Gonchenkob

a Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Av. Diagonal 647, 08028 Barcelona, Spain
b Research Institute of Applied Mathematics and Cybernetics, Nizhny Novgorod State University, 10, Ulyanova Str. 603005 Nizhny Novgorod, Russia
Citations (19)
DOI: https://doi.org/10.1134/S1560354709010080
Abstract: We study bifurcations of two-dimensional symplectic maps with quadratic homoclinic tangencies and prove results on the existence of cascade of elliptic periodic points for one and two parameter general unfoldings.
Keywords: symplectic map, homoclinic tangency, bifurcation, generic elliptic point, KAM-theory.
Received: 02.11.2008
Accepted: 21.12.2008
Bibliographic databases:
Document Type: Personalia
MSC: 37C29, 37G25, 37J10, 37J20
Language: English
Citation: M. S. Gonchenko, S. V. Gonchenko, “On Cascades of Elliptic Periodic Points in Two-Dimensional Symplectic Maps with Homoclinic Tangencies”, Regul. Chaotic Dyn., 14:1 (2009), 116–136
Citation in format AMSBIB
\Bibitem{GonGon09}
\by M. S. Gonchenko, S. V. Gonchenko
\paper On Cascades of Elliptic Periodic Points in Two-Dimensional Symplectic Maps with Homoclinic Tangencies
\jour Regul. Chaotic Dyn.
\yr 2009
\vol 14
\issue 1
\pages 116--136
\mathnet{http://mi.mathnet.ru/rcd542}
\crossref{https://doi.org/10.1134/S1560354709010080}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2480954}
\zmath{https://zbmath.org/?q=an:1229.37054}
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