On existence of Morse energy function for topological flows

DOI10.1016/j.aim.2020.107518zbMath1461.37021OpenAlexW3112689677MaRDI QIDQ2219323

Svetlana Kh. Zinina, Olga V. Pochinka, Timur V. Medvedev

Publication date: 20 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.aim.2020.107518

zbMATH Keywords

Lyapunov functionenergy functionchain recurrent set

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30) Dynamics in general topological spaces (37B02)

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