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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 236, Pages 95–102
(Mi tm280)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/tm280 https://www.mathnet.ru/eng/tm/v236/p95
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Abstract page: | 242 | Full-text PDF : | 81 | References: | 46 |
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