Criterion for the existence of an energy function for a regular homeomorphism of the 3-sphere

DOI10.1134/s0081543823020037zbMath1527.37019MaRDI QIDQ6049028

Olga V. Pochinka, M. K. Barinova, Vyacheslav Z. Grines

Publication date: 15 September 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionchain recurrent setMorse energy function

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Generic properties, structural stability of dynamical systems (37C20) Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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