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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 300, Pages 155–166 (Mi znsl997)  
This article is cited in 13 scientific papers (total in 13 papers)

On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points

S. V. Gonchenko, L. P. Shilnikov

Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
Full-text PDF (227 kB) Citations (13)
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Abstract: Semi-local dynamics of two-dimensional symplectic diffeomorphisms with homoclinic tangencies are studied. Conditions when infinitely many generic elliptic periodic orbits exist of successive periods beginning with some integer are found.
Received: 30.11.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 2, Pages 2767–2773
DOI: https://doi.org/10.1007/s10958-005-0228-6
Bibliographic databases:
UDC: 517.9
Language: English
Citation: S. V. Gonchenko, L. P. Shilnikov, “On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 155–166; J. Math. Sci. (N. Y.), 128:2 (2005), 2767–2773
Citation in format AMSBIB
\Bibitem{GonShi03}
\by S.~V.~Gonchenko, L.~P.~Shilnikov
\paper On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points
\inbook Representation theory, dynamical systems. Part~VIII
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 300
\pages 155--166
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl997}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1993033}
\zmath{https://zbmath.org/?q=an:1120.37041}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 2
\pages 2767--2773
\crossref{https://doi.org/10.1007/s10958-005-0228-6}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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