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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 236, Pages 103–119
(Mi tm281)
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This article is cited in 2 scientific papers (total in 2 papers)
Homoclinic Tangencies, $\Omega$-Moduli, and Bifurcations
V. S. Gonchenko Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
Abstract:
A survey of author's results related to the problems of existence of continuous invariants (moduli) of $\Omega$-conjugacy of multidimensional diffeomorphisms with homoclinic tangencies is presented. The problem of bifurcations of periodic orbits is considered in the case of four-dimensional diffeomorphisms with a nontransversal homoclinic orbit to a fixed point of saddle–focus type.
Received in February 2001
Citation:
V. S. Gonchenko, “Homoclinic Tangencies, $\Omega$-Moduli, and Bifurcations”, 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, 103–119; Proc. Steklov Inst. Math., 236 (2002), 94–109
Linking options:
https://www.mathnet.ru/eng/tm281 https://www.mathnet.ru/eng/tm/v236/p103
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Abstract page: | 239 | Full-text PDF : | 83 | References: | 38 |
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