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
Abstract. Let f be a diffeomorphism on a closed manifoldM, and let p ∈M be a hyperbolic periodic poi...
For an α -expansive homeomorphism of a compact space we give an elementary proof of the fo...
In this paper, we consider the shadowing and the inverse shadowing properties for Cl endomorphisms. ...
AbstractWe introduce the notion of L-hyperbolic homeomorphisms on compact metric spaces as a strict ...
The aim of the following paper is to propose and investigate the partial generalization of hyperboli...
In this paper, we study relations between shadowing and inverse shadowing for homeomorphisms of a co...
Abstract. In this article, we give a characterization of two-sided limit shad-owing property for hom...
AbstractIt is proved that every expansive homeomorphism of a compact space has a hyperbolic metric
Let f : M → M be a diffeomorphism on a closed smooth n(≥ 2) dimensional manifold M. We show that C1 ...
It is proved that a homeomorphism on a compact metric space with the average-shadowing property has ...
We discuss the dynamics of n-expansive homeomorphisms with the shadowing property defined on compact...
In this paper, the notion of shadowable measures is introduced as a generalization of the shadowing ...
Let f be a diffeomorphism on a closed manifold, and p be a hyperbolic periodic point of f. Denote C(...
We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metri...
Abstract. Let f be a diffeomorphism of a closed C ∞ three-dimensional man-ifold. In this paper, we i...
Abstract. Let f be a diffeomorphism on a closed manifoldM, and let p ∈M be a hyperbolic periodic poi...
For an α -expansive homeomorphism of a compact space we give an elementary proof of the fo...
In this paper, we consider the shadowing and the inverse shadowing properties for Cl endomorphisms. ...
AbstractWe introduce the notion of L-hyperbolic homeomorphisms on compact metric spaces as a strict ...
The aim of the following paper is to propose and investigate the partial generalization of hyperboli...
In this paper, we study relations between shadowing and inverse shadowing for homeomorphisms of a co...
Abstract. In this article, we give a characterization of two-sided limit shad-owing property for hom...
AbstractIt is proved that every expansive homeomorphism of a compact space has a hyperbolic metric
Let f : M → M be a diffeomorphism on a closed smooth n(≥ 2) dimensional manifold M. We show that C1 ...
It is proved that a homeomorphism on a compact metric space with the average-shadowing property has ...
We discuss the dynamics of n-expansive homeomorphisms with the shadowing property defined on compact...
In this paper, the notion of shadowable measures is introduced as a generalization of the shadowing ...
Let f be a diffeomorphism on a closed manifold, and p be a hyperbolic periodic point of f. Denote C(...
We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metri...
Abstract. Let f be a diffeomorphism of a closed C ∞ three-dimensional man-ifold. In this paper, we i...
Abstract. Let f be a diffeomorphism on a closed manifoldM, and let p ∈M be a hyperbolic periodic poi...
For an α -expansive homeomorphism of a compact space we give an elementary proof of the fo...
In this paper, we consider the shadowing and the inverse shadowing properties for Cl endomorphisms. ...
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