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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2016 Volume 207, Number 5, Pages 69–92 (Mi sm8565)

This article is cited 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.

UDC: 517.938

MSC: Primary 37D15; Secondary 37C15, 37C70

Received: 02.07.2015

DOI: 10.4213/sm8565


 English version:
Sbornik: Mathematics, 2016, 207:5, 702–723

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© Steklov Math. Inst. of RAS, 2025