Necessary and sufficient conditions for the conjugacy of Smale regular homeomorphisms

E. V. Zhuzhoma   ; V. S. Medvedev

Sbornik. Mathematics, Tome 212 (2021) no. 1, pp. 57-69

Résumé

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.

Détail

Keywords: discrete dynamical system, Smale regular homeomorphism.
Mots-clés : conjugacy

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