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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
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.
Received: 02.07.2015
Citation:
E. V. Zhuzhoma, V. S. Medvedev, “Continuous Morse-Smale flows with three equilibrium positions”, Mat. Sb., 207:5 (2016), 69–92; Sb. Math., 207:5 (2016), 702–723
Linking options:
https://www.mathnet.ru/eng/sm8565https://doi.org/10.1070/SM8565 https://www.mathnet.ru/eng/sm/v207/i5/p69
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Abstract page: | 494 | Russian version PDF: | 155 | English version PDF: | 18 | References: | 58 | First page: | 25 |
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