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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 261, Pages 61–86
(Mi tm740)
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This article is cited in 19 scientific papers (total in 19 papers)
Peixoto Graph of Morse–Smale Diffeomorphisms on Manifolds of Dimension Greater than Three
V. Z. Grinesa, E. Ya. Gurevich, V. S. Medvedevb a Nizhnii Novgorod State Agricultural Academy
b Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
Abstract:
Let $M^n$ be a closed orientable manifold of dimension greater than three and $G_1(M^n)$ be the class of orientation-preserving Morse–Smale diffeomorphisms on $M^n$ such that the set of unstable separatrices of every $f\in G_1(M^n)$ is one-dimensional and does not contain heteroclinic orbits. We show that the Peixoto graph is a complete invariant of topological conjugacy in $G_1(M^n)$.
Received in September 2007
Citation:
V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, “Peixoto Graph of Morse–Smale Diffeomorphisms on Manifolds of Dimension Greater than Three”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 261, MAIK Nauka/Interperiodica, Moscow, 2008, 61–86; Proc. Steklov Inst. Math., 261 (2008), 59–83
Linking options:
https://www.mathnet.ru/eng/tm740 https://www.mathnet.ru/eng/tm/v261/p61
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Abstract page: | 460 | Full-text PDF : | 122 | References: | 54 | First page: | 22 |
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