On existence of an energy function for \(\Omega\)-stable surface diffeomorphisms

DOI10.1134/S1995080222020020zbMath1496.37019OpenAlexW4226397554MaRDI QIDQ2121916

M. K. Barinova

Publication date: 5 April 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222020020

zbMATH Keywords

surfacediffeomorphismLyapunov functionenergy function

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items

Dynamics of three-dimensional A-diffeomorphisms with two-dimensional attractors and repellers, Energy Function for Direct Products of Discrete Dynamical Systems

Cites Work

• Dynamical systems on 2- and 3-manifolds
• Dynamically ordered energy function for Morse-Smale diffeomorphisms on 3-manifolds
• Nonsingular Smale flows on \(S^ 3\)
• Wild unstable manifolds
• The constructing of energy functions for \(\Omega \)-stable diffeomorphisms on 2- and 3-manifolds
• The construction of an energy function for three-dimensional cascades with a two-dimensional expanding attractor
• SOURCES AND SINKS OFA-DIFFEOMORPHISMS OF SURFACES
• The wild Fox–Artin arc in invariant sets of dynamical systems
• Smoothing Derivatives of Functions and Applications
• Differentiable dynamical systems
• Energy Functions for Morse Smale Systems
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