Energy Function for Direct Products of Discrete Dynamical Systems

DOI10.15507/2079-6900.25.202302.11-21OpenAlexW4385831141MaRDI QIDQ6143669

M. K. Barinova, Evgeniya Konstantinovna Shustova

Publication date: 24 January 2024

Published in: Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/svmo852

zbMATH Keywords

diffeomorphismenergy functiondirect productchain recurrent set

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Cites Work

• Dynamically ordered energy function for Morse-Smale diffeomorphisms on 3-manifolds
• Nonsingular Smale flows on \(S^ 3\)
• Wild unstable manifolds
• On existence of an energy function for \(\Omega\)-stable surface diffeomorphisms
• On gradient dynamical systems
• Existence of an energy function for three-dimensional chaotic “sink-source” cascades
• Energy Functions for Morse Smale Systems
• Dynamical properties of direct products of discrete dynamical systems
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