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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2021 Volume 212, Number 1, Pages 63–77 (Mi sm9244)

This article is cited in 3 papers

Necessary and sufficient conditions for the conjugacy of Smale regular homeomorphisms

E. V. Zhuzhoma, V. S. Medvedev

National Research University Higher School of Economics, Nizhnii Novgorod

Abstract: 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, conjugacy, Smale regular homeomorphism.

UDC: 517.938

MSC: Primary 37B05, 37D05; Secondary 37D15, 57N99

Received: 04.03.2019 and 27.04.2020

DOI: 10.4213/sm9244


 English version:
Sbornik: Mathematics, 2021, 212:1, 57–69

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© Steklov Math. Inst. of RAS, 2025