On Topology of Manifolds Admitting a Gradient-Like Flow with a Prescribed Non-Wandering Set

DOI10.3103/S1055134419020020zbMath1438.37014OpenAlexW2947579698MaRDI QIDQ5230804

V. S. Medvedev, E. Ya. Gurevich, Vyacheslav Z. Grines, Evgeny Zhuzhoma

Publication date: 28 August 2019

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134419020020

zbMATH Keywords

manifoldsHeegaard splittinggradient-like flowsdynamics and topology

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Morse-Smale systems (37D15)

Related Items (2)

Underlying manifolds of high-dimensional Morse-Smale diffeomorphisms with two saddle periodic points ⋮ Classification of Morse–Smale systems and topological structure of the underlying manifolds

Cites Work

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• Differential Topology
• New relations for Morse-Smale systems with trivially embedded one-dimensional separatrices
• Differentiable dynamical systems
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