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JOURNALS // Contemporary Mathematics. Fundamental Directions // Archive

CMFD, 2016 Volume 61, Pages 5–40 (Mi cmfd300)

This article is cited in 3 papers

Morse–Smale systems and topological structure of supporting manifolds

V. Z. Grinesab, Ye. V. Zhuzhomab, O. V. Pochinkab

a NNSU, 603950, Nizhniy Novgorod, pr. Gagarina, 23
b NRU HSE, 603155, Nizhniy Novgorod, ul. Bolshaya Pecherskaya, 25/12

Abstract: In this paper, we review the results describing the connection between the global dynamics of Morse–Smale systems on closed manifolds and the topology of supporting manifolds. Also we consider the results related to topological classification of Morse–Smale systems.

UDC: 517.938



© Steklov Math. Inst. of RAS, 2024