Morse--Smale systems and topological structure of supporting manifolds

V. Z. Grines ; Ye. V. Zhuzhoma ; O. V. Pochinka

Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 61 (2016), pp. 5-40.

Résumé

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.

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