Morse–Smale Systems and Topological Structure of Carrier Manifolds


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Abstract

We review the results describing the connection between the global dynamics of Morse–Smale systems on closed manifolds and the topology of carrier manifolds. Also we consider the results related to topological classification of Morse–Smale systems.

About the authors

V. Z. Grines

National Research University “Higher School of Economics” in Nizhniy Novgorod; Lobachevski State University of Nizhniy Novgorod

Author for correspondence.
Email: vgrines@yandex.ru
Russian Federation, Nizhniy Novgorod; Nizhniy Novgorod

Ye. V. Zhuzhoma

National Research University “Higher School of Economics” in Nizhniy Novgorod

Email: vgrines@yandex.ru
Russian Federation, Nizhniy Novgorod

O. V. Pochinka

National Research University “Higher School of Economics” in Nizhniy Novgorod

Email: vgrines@yandex.ru
Russian Federation, Nizhniy Novgorod

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