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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 236, Pages 95–102 (Mi tm280)  
This article is cited in 7 scientific papers (total in 7 papers)

On Bifurcations of Two-Dimensional Diffeomorphisms with a Homoclinic Tangency of Manifolds of a “Neutral” Saddle

V. S. Gonchenko

Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
Full-text PDF (189 kB) Citations (7)
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Abstract: Bifurcations of periodic orbits are studied for two-dimensional diffeomorphisms close to a diffeomorphism with the quadratic homoclinic tangency to a saddle fixed point whose Jacobian is equal to one. Problems of the coexistence of periodic orbits of various types of stability are considered.
Received in December 2000
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. S. Gonchenko, “On Bifurcations of Two-Dimensional Diffeomorphisms with a Homoclinic Tangency of Manifolds of a “Neutral” Saddle”, Differential equations and dynamical systems, Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko, Trudy Mat. Inst. Steklova, 236, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 95–102; Proc. Steklov Inst. Math., 236 (2002), 86–93
Citation in format AMSBIB
\Bibitem{Gon02}
\by V.~S.~Gonchenko
\paper On Bifurcations of Two-Dimensional Diffeomorphisms with a~Homoclinic Tangency of Manifolds of
a~``Neutral'' Saddle
\inbook Differential equations and dynamical systems
\bookinfo Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko
\serial Trudy Mat. Inst. Steklova
\yr 2002
\vol 236
\pages 95--102
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm280}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1931010}
\zmath{https://zbmath.org/?q=an:1025.37027}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2002
\vol 236
\pages 86--93
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    • This publication is cited in the following 7 articles:
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