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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 261, Pages 61–86 (Mi tm740)  
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
Full-text PDF (430 kB) Citations (19)
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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
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 261, Pages 59–83
DOI: https://doi.org/10.1134/S0081543808020065
Bibliographic databases:
UDC: 517.938.5
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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