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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
References:
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
Russian version:
Matematicheskii Sbornik, 2021, Volume 212, Number 1, Pages 63–77
DOI: https://doi.org/10.4213/sm9244
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”, Mat. Sb., 212:1 (2021), 63–77; Sb. Math., 212:1 (2021), 57–69
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/sm9244
  • https://doi.org/10.1070/SM9244
  • https://www.mathnet.ru/eng/sm/v212/i1/p63
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:34
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