The energy function of gradient-like flows and the topological classification problem

DOI10.1134/S0001434614110297zbMath1370.37027MaRDI QIDQ2343934

E. Ya. Gurevich, Olga V. Pochinka, Vyacheslav Z. Grines

Publication date: 11 May 2015

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

zbMATH Keywords

Morse indexenergy functiontopological equivalenceMorse functiongradient-like flow

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) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (2)

Topological classification of global magnetic fields in the solar corona ⋮ Classification of Morse–Smale systems and topological structure of the underlying manifolds

Cites Work

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• NECESSARY AND SUFFICIENT CONDITIONS FOR TOPOLOGICAL EQUIVALENCE OF THREE-DIMENSIONAL MORSE-SMALE DYNAMICAL SYSTEMS WITH A FINITE NUMBER OF SINGULAR TRAJECTORIES

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