Topological classification of gradient-like flows with surface dynamics on 3-manifolds

DOI10.1134/S0001434620010162zbMath1446.37026MaRDI QIDQ2191947

E. D. Kurenkov, E. Ya. Gurevich, Vyacheslav Z. Grines

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

topological equivalencetopological classificationSeifert manifoldheteroclinic trajectoryMorse-Smale flowsurface dynamicsgradient-like flow

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by flows and semiflows (37C10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Morse-Smale systems (37D15)

Related Items (2)

Existence theorem for coverings of Serre bundles ⋮ On gradient-like flows on Seifert manifolds

Cites Work

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• On the number of heteroclinic curves of diffeomorphisms with surface dynamics
• Classification of Morse-Smale flows on two-dimensional manifolds
• New relations for Morse-Smale systems with trivially embedded one-dimensional separatrices
• Heteroclinic curves of Morse – Smale cascades and separators in magnetic field of plasma
• Differentiable dynamical systems

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