Necessary and sufficient conditions for the conjugacy of Smale regular homeomorphisms

DOI10.1070/SM9244zbMath1475.37016OpenAlexW3099532943MaRDI QIDQ5858147

V. S. Medvedev, Evgeny Zhuzhoma

Publication date: 9 April 2021

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

Full work available at URL: https://doi.org/10.1070/sm9244

zbMATH Keywords

conjugacydiscrete dynamical systemSmale regular homeomorphism

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems with hyperbolic orbits and sets (37D05) Stability theory for smooth dynamical systems (37C75) Morse-Smale systems (37D15) Dynamics in general topological spaces (37B02)

Related Items

High-dimensional Morse-Smale systems with king-saddles, Many-dimensional Morse-Smale diffeomeophisms with a dominant saddle, Smale regular and chaotic A-homeomorphisms and A-diffeomorphisms

Cites Work

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• Conjugacy of Morse-Smale diffeomorphisms with three nonwandering points
• Global dynamics of Morse-Smale systems
• On manifolds homeomorphic to the 7-sphere
• Flows on 2-dimensional manifolds. An overview
• Topological classification of Morse-Smale diffeomorphisms with finite set of heteroclinic trajectories on surfaces
• Topological classification of gradient-like diffeomorphisms on 3-manifolds.
• On structurally stable diffeomorphisms with expanding attractors or contracting repellers of codimension one.
• On the topological classification of gradient-like diffeomorphisms without heteroclinic curves on three-dimensional manifolds.
• Knots as topological invariants for gradient-like diffeomorphisms of the sphere \(S^3\)
• On Morse-Smale dynamical systems
• Continuous Morse-Smale flows with three equilibrium positions
• Morse inequalities for a dynamical system
• New relations for Morse-Smale systems with trivially embedded one-dimensional separatrices
• Classification of Morse–Smale systems and topological structure of the underlying manifolds
• Differentiable dynamical systems
• On the Local Linearization of Differential Equations
• Invariant manifolds