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Sbornik: Mathematics, 2021, Volume 212, Issue 1, Pages 57–69
DOI: https://doi.org/10.1070/SM9244 (Mi sm9244) 		 
This article is cited in 3 scientific papers (total 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
English version PDF (479 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/SM9244
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.
Funding agency Grant number
Russian Science Foundation 17-11-01041
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1931
This work was supported by the Russian Science Foundation (grant no. 17-11-01041), with the exception of the proof of Lemma 2, which was supported by the International Laboratory of Dynamical Systems and Applications of the HSE University under a grant from the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2019-1931).
Received: 04.03.2019 and 27.04.2020
Bibliographic databases:
Document Type: Article
UDC: 517.938
MSC: Primary 37B05, 37D05; Secondary 37D15, 57N99
Language: English
Original paper language: Russian
Citation: E. V. Zhuzhoma, V. S. Medvedev, “Necessary and sufficient conditions for the conjugacy of Smale regular homeomorphisms”, Sb. Math., 212:1 (2021), 57–69
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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