AbstractWe introduce the notion of L-hyperbolic homeomorphisms on compact metric spaces as a strict generalization of Axiom A diffeomorphisms and prove that the notion is equivalent to expansive homeomorphisms having the shadowing property and to Ruelle's Smale spaces. Furthermore, for L-hyperbolic homeomorphisms, both the Lipschitz shadowing property and the average shadowing property are shown
AbstractTheorem. Let ƒ:X→X be an expansive homeomorphism of a compact metric space onto itself and l...
AbstractLet f be a continuous map of a compact metric space. Assuming shadowing for f we relate the ...
We discuss the dynamics of n-expansive homeomorphisms with the shadowing property defined on compact...
AbstractWe introduce the notion of L-hyperbolic homeomorphisms on compact metric spaces as a strict ...
AbstractIt is proved that every expansive homeomorphism of a compact space has a hyperbolic metric
The aim of the following paper is to propose and investigate the partial generalization of hyperboli...
AbstractThe existence of hyperbolic coordinates is equivalent to the pseudo orbits tracing property ...
AbstractIn this paper, various shadowing properties are considered for a positively expansive map on...
AbstractIn this paper, we study the relationship between the recurrent set and the shadowing propert...
In this paper, the notion of shadowable measures is introduced as a generalization of the shadowing ...
Abstract. In this article, we give a characterization of two-sided limit shad-owing property for hom...
Abstract. Let f be a diffeomorphism on a closed manifoldM, and let p ∈M be a hyperbolic periodic poi...
For a system of linear ordinary differential equations with constant coefficients a simple proof is ...
summary:In the present paper conditions are studied, under which a pseudo-orbit of a continuous map ...
We begin by defining a homoclinic class for homeomorphisms. Then we prove that if a topological homo...
AbstractTheorem. Let ƒ:X→X be an expansive homeomorphism of a compact metric space onto itself and l...
AbstractLet f be a continuous map of a compact metric space. Assuming shadowing for f we relate the ...
We discuss the dynamics of n-expansive homeomorphisms with the shadowing property defined on compact...
AbstractWe introduce the notion of L-hyperbolic homeomorphisms on compact metric spaces as a strict ...
AbstractIt is proved that every expansive homeomorphism of a compact space has a hyperbolic metric
The aim of the following paper is to propose and investigate the partial generalization of hyperboli...
AbstractThe existence of hyperbolic coordinates is equivalent to the pseudo orbits tracing property ...
AbstractIn this paper, various shadowing properties are considered for a positively expansive map on...
AbstractIn this paper, we study the relationship between the recurrent set and the shadowing propert...
In this paper, the notion of shadowable measures is introduced as a generalization of the shadowing ...
Abstract. In this article, we give a characterization of two-sided limit shad-owing property for hom...
Abstract. Let f be a diffeomorphism on a closed manifoldM, and let p ∈M be a hyperbolic periodic poi...
For a system of linear ordinary differential equations with constant coefficients a simple proof is ...
summary:In the present paper conditions are studied, under which a pseudo-orbit of a continuous map ...
We begin by defining a homoclinic class for homeomorphisms. Then we prove that if a topological homo...
AbstractTheorem. Let ƒ:X→X be an expansive homeomorphism of a compact metric space onto itself and l...
AbstractLet f be a continuous map of a compact metric space. Assuming shadowing for f we relate the ...
We discuss the dynamics of n-expansive homeomorphisms with the shadowing property defined on compact...
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