Geodesic
Necessary and sufficient conditions for~the~conjugacy of Smale regular homeomorphisms
Sbornik. Mathematics, Tome 212 (2021) no. 1, pp. 57-69

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The class of Smale regular homeomorphisms of closed topological manifolds, with nonwandering set consisting of a finite number of periodic orbits of hyperbolic type, is considered. This class contains the Morse-Smale diffeomorphisms of smooth closed manifolds. For two Smale regular homomorphisms necessary and sufficient conditions for being conjugate are presented. Bibliography: 26 titles.
Keywords: discrete dynamical system, Smale regular homeomorphism.
Mots-clés : conjugacy 
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     title = {Necessary and sufficient conditions for~the~conjugacy of {Smale} regular homeomorphisms},
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E. V. Zhuzhoma; V. S. Medvedev. Necessary and sufficient conditions for~the~conjugacy of Smale regular homeomorphisms. Sbornik. Mathematics, Tome 212 (2021) no. 1, pp. 57-69. http://geodesic.mathdoc.fr/item/SM_2021_212_1_a2/