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Sbornik: Mathematics, 2016, Volume 207, Issue 5, Pages 702–723
DOI: https://doi.org/10.1070/SM8565 (Mi sm8565) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Continuous Morse-Smale flows with three equilibrium positions

E. V. Zhuzhomaa, V. S. Medvedevb

a State University – Higher School of Economics in Nizhni Novgorod
b Lobachevski State University of Nizhni Novgorod
English version PDF (592 kB) Citations (17) Russian version article
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DOI: https://doi.org/10.1070/SM8565
Abstract: Continuous Morse-Smale flows on closed manifolds whose nonwandering set consists of three equilibrium positions are considered. Necessary and sufficient conditions for topological equivalence of such flows are obtained and the topological structure of the underlying manifolds is described.
Bibliography: 36 titles.
Keywords: Morse-Smale flows, topological equivalence.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03687-а
Russian Science Foundation 14-41-00044
This research was supported by the Russian Foundation for Basic Research (grant no. 15-01-03687-a) and the Russian Science Foundation (project no. 14-41-00044) within the framework of the Programme of Federal Research of the National Research University “Higher School of Economics” in 2016 (T3-98).
Received: 02.07.2015
Bibliographic databases:
Document Type: Article
UDC: 517.938
MSC: Primary 37D15; Secondary 37C15, 37C70
Language: English
Original paper language: Russian
Citation: E. V. Zhuzhoma, V. S. Medvedev, “Continuous Morse-Smale flows with three equilibrium positions”, Sb. Math., 207:5 (2016), 702–723
Citation in format AMSBIB
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\pages 702--723
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:62
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