Necessary and sufficient conditions for the conjugacy of Smale regular homeomorphisms
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Abstract The class of Smale regular homeomorphisms of closed topological manifolds, with nonwandering set consisting of a finite number of periodic orbits of hyperbolic type, is considered. This class contains the Morse-Smale diffeomorphisms of smooth closed manifolds. For two Smale regular homomorphisms necessary and sufficient conditions for being conjugate are presented. Bibliography: 26 titles.
Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems, discrete dynamical system, Morse-Smale systems, Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, Dynamical systems with hyperbolic orbits and sets, Smale regular homeomorphism, Stability of topological dynamical systems, conjugacy, Stability theory for smooth dynamical systems, Dynamics in general topological spaces
Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems, discrete dynamical system, Morse-Smale systems, Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics, Dynamical systems with hyperbolic orbits and sets, Smale regular homeomorphism, Stability of topological dynamical systems, conjugacy, Stability theory for smooth dynamical systems, Dynamics in general topological spaces
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