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Regular and Chaotic Dynamics, 1998, Volume 3, Issue 4, Pages 3–26
DOI: https://doi.org/10.1070/RD1998v003n04ABEH000089 (Mi rcd957) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Elliptic Periodic Orbits Near a Homoclinic Tangency in Four-Dimensional Symplectic Maps and Hamiltonian Systems With Three Degrees of Freedom

S. V. Gonchenkoa, L. P. Shilnikova, D. V. Turaevb

a Institute for Applied mathematics and Cybernetics, 10 Ul'ianov Str., Nizhniy Novgorod, 603005, Russia
b Weierstrass-Institut für Angewandte Analysis und Stochastik, Mohrenstrasse 39, D-10117, Berlin
Citations (10)
DOI: https://doi.org/10.1070/RD1998v003n04ABEH000089
Abstract: We study bifurcations leading to the appearance of elliptic orbits in the case of four-dimensional symplectic diffeomorphisms (and Hamiltonian flows with three degrees of freedom) with a homoclinic tangency to a saddle-focus periodic orbit.
Received: 20.11.1998
Bibliographic databases:
Document Type: Article
MSC: 58F36
Language: English
Citation: S. V. Gonchenko, L. P. Shilnikov, D. V. Turaev, “Elliptic Periodic Orbits Near a Homoclinic Tangency in Four-Dimensional Symplectic Maps and Hamiltonian Systems With Three Degrees of Freedom”, Regul. Chaotic Dyn., 3:4 (1998), 3–26
Citation in format AMSBIB
\Bibitem{GonShiTur98}
\by S. V. Gonchenko, L. P. Shilnikov, D. V. Turaev
\paper Elliptic Periodic Orbits Near a Homoclinic Tangency in Four-Dimensional Symplectic Maps and Hamiltonian Systems With Three Degrees of Freedom
\jour Regul. Chaotic Dyn.
\yr 1998
\vol 3
\issue 4
\pages 3--26
\mathnet{http://mi.mathnet.ru/rcd957}
\crossref{https://doi.org/10.1070/RD1998v003n04ABEH000089}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1704979}
\zmath{https://zbmath.org/?q=an:0956.37048}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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