We show that if a C 1 generic diffeomorphism of a closed smooth two-dimensional manifold has the average shadowing property or the asymptotic average shadowing property, then it is Anosov. Moreover, if a C 1 generic vector field of a closed smooth three-dimensional manifold has the average shadowing property or the asymptotic average shadowing property, then it satisfies singular Axiom A without cycles
It is proved that a homeomorphism on a compact metric space with the average-shadowing property has ...
AbstractWe give a description of the C1-interior (Int1(OrientSh)) of the set of smooth vector fields...
In this paper, the notion of shadowable measures is introduced as a generalization of the shadowing ...
Let M be a closed smooth Riemannian manifold and let f : M → M be a diffeomorphism. We show that if ...
AbstractLet Z(M) be the space of discrete dynamical systems with the C0-topology on a manifold M. It...
For an α -expansive homeomorphism of a compact space we give an elementary proof of the fo...
In this paper, we study relations between shadowing and inverse shadowing for homeomorphisms of a co...
Let f : M → M be a diffeomorphism on a closed smooth n(≥ 2) dimensional manifold M. We show that C1 ...
We prove that shadowing (the pseudo-orbit tracing property), periodic shadowing (tracing periodic ps...
Abstract. In this paper we study relations between almost specification property, asymp-totic averag...
We prove that shadowing (the pseudo-orbit tracing property), pe- riodic shadowing (tracing periodic...
AbstractAxiom A diffeomorphisms g, C0-close to pseudo-Anosov maps f on a surface M and on its univer...
In this article, we show that there are homeomorphisms of plane continua whose conjugacy class is re...
In this article, we show that there are homeomorphisms of plane continua whose conjugacy class is re...
AbstractIn J. Math. Anal. Appl. 189 (1995) 409–423, Corless and Pilyugin proved that weak shadowing ...
It is proved that a homeomorphism on a compact metric space with the average-shadowing property has ...
AbstractWe give a description of the C1-interior (Int1(OrientSh)) of the set of smooth vector fields...
In this paper, the notion of shadowable measures is introduced as a generalization of the shadowing ...
Let M be a closed smooth Riemannian manifold and let f : M → M be a diffeomorphism. We show that if ...
AbstractLet Z(M) be the space of discrete dynamical systems with the C0-topology on a manifold M. It...
For an α -expansive homeomorphism of a compact space we give an elementary proof of the fo...
In this paper, we study relations between shadowing and inverse shadowing for homeomorphisms of a co...
Let f : M → M be a diffeomorphism on a closed smooth n(≥ 2) dimensional manifold M. We show that C1 ...
We prove that shadowing (the pseudo-orbit tracing property), periodic shadowing (tracing periodic ps...
Abstract. In this paper we study relations between almost specification property, asymp-totic averag...
We prove that shadowing (the pseudo-orbit tracing property), pe- riodic shadowing (tracing periodic...
AbstractAxiom A diffeomorphisms g, C0-close to pseudo-Anosov maps f on a surface M and on its univer...
In this article, we show that there are homeomorphisms of plane continua whose conjugacy class is re...
In this article, we show that there are homeomorphisms of plane continua whose conjugacy class is re...
AbstractIn J. Math. Anal. Appl. 189 (1995) 409–423, Corless and Pilyugin proved that weak shadowing ...
It is proved that a homeomorphism on a compact metric space with the average-shadowing property has ...
AbstractWe give a description of the C1-interior (Int1(OrientSh)) of the set of smooth vector fields...
In this paper, the notion of shadowable measures is introduced as a generalization of the shadowing ...
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