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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Trudy SVMO, 2008, Volume 10, Number 1, Pages 55–65 (Mi svmo108)

The realization Peixoto's graphs by Morse-Smale diffeomorphisms with sadle periodic points of index one

V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev


Abstract: In this report we we give a presentation of each topological conjugacy subclass of class $G_{1}(M^{n})$ of orientation preserving Morse-Smale diffeomorphisms on closed orientable manifold $M^{n}$ of dimension $n \geq 4$ such that for any $f\in G_{1}(M^n)$ the set of unstable separatrixes has dimension 1 and does not contain the heteroclinic orbits

Keywords: Topological classification, Morse-Smale dynamical system.

UDC: 517.956.2



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