In this paper, the notion of shadowable measures is introduced as a generalization of the shadowing property from the measure theoretical view point, and the set of diffeomorphisms satisfying the notion is considered. The dynamics of the C1 -interior of the set of diffeomorphisms possessing the shadowable measures is characterized as the uniform hyperbolicity
AbstractIn J. Math. Anal. Appl. 189 (1995) 409–423, Corless and Pilyugin proved that weak shadowing ...
By the Shadowing Lemma we can shadow any sufficient accurate pseudo-trajectory of a hyperbolic syste...
AbstractLet f be a continuous map of a compact metric space. Assuming shadowing for f we relate the ...
In this paper, the notion of shadowable measures is introduced as a generalization of the shadowing ...
In this paper, some properties of the periodic shadowing are presented. It is shown that a homeomorp...
summary:In the present paper conditions are studied, under which a pseudo-orbit of a continuous map ...
Abstract. Let f be a diffeomorphism on a closed manifoldM, and let p ∈M be a hyperbolic periodic poi...
AbstractWe introduce the notion of L-hyperbolic homeomorphisms on compact metric spaces as a strict ...
Let f be a diffeomorphism on a closed manifold, and p be a hyperbolic periodic point of f. Denote C(...
Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical sy...
For any θ, ω> 1/2 we prove that, if any d-pseudotrajectory of length ∼ 1/dω of a diffeomorphism f...
AbstractLet f be a diffeomorphism on a closed manifold, and p be a hyperbolic periodic point of f. D...
AbstractIn this paper, we study the relationship between the recurrent set and the shadowing propert...
Abstract. In this article, we give a characterization of two-sided limit shad-owing property for hom...
A shadowable point for a flow is a point where the shadowing lemma holds for pseudo-orbits passing t...
AbstractIn J. Math. Anal. Appl. 189 (1995) 409–423, Corless and Pilyugin proved that weak shadowing ...
By the Shadowing Lemma we can shadow any sufficient accurate pseudo-trajectory of a hyperbolic syste...
AbstractLet f be a continuous map of a compact metric space. Assuming shadowing for f we relate the ...
In this paper, the notion of shadowable measures is introduced as a generalization of the shadowing ...
In this paper, some properties of the periodic shadowing are presented. It is shown that a homeomorp...
summary:In the present paper conditions are studied, under which a pseudo-orbit of a continuous map ...
Abstract. Let f be a diffeomorphism on a closed manifoldM, and let p ∈M be a hyperbolic periodic poi...
AbstractWe introduce the notion of L-hyperbolic homeomorphisms on compact metric spaces as a strict ...
Let f be a diffeomorphism on a closed manifold, and p be a hyperbolic periodic point of f. Denote C(...
Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical sy...
For any θ, ω> 1/2 we prove that, if any d-pseudotrajectory of length ∼ 1/dω of a diffeomorphism f...
AbstractLet f be a diffeomorphism on a closed manifold, and p be a hyperbolic periodic point of f. D...
AbstractIn this paper, we study the relationship between the recurrent set and the shadowing propert...
Abstract. In this article, we give a characterization of two-sided limit shad-owing property for hom...
A shadowable point for a flow is a point where the shadowing lemma holds for pseudo-orbits passing t...
AbstractIn J. Math. Anal. Appl. 189 (1995) 409–423, Corless and Pilyugin proved that weak shadowing ...
By the Shadowing Lemma we can shadow any sufficient accurate pseudo-trajectory of a hyperbolic syste...
AbstractLet f be a continuous map of a compact metric space. Assuming shadowing for f we relate the ...