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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
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.
Received: 04.03.2019 and 27.04.2020
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
Linking options:
https://www.mathnet.ru/eng/sm9244https://doi.org/10.1070/SM9244 https://www.mathnet.ru/eng/sm/v212/i1/p63
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Abstract page: | 330 | Russian version PDF: | 49 | English version PDF: | 18 | Russian version HTML: | 114 | References: | 34 | First page: | 8 |
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