In this paper, we consider positively weak measure expansive homeomorphisms and flows with the shadowing property on a compact metric space X. Moreover, we prove that if a homeomorphism (or flow) has a positively weak expansive measure and the shadowing property on its nonwandering set, then its topological entropy is positive
summary:For mappings $f\,:\, S\rightarrow S$, where $S$ is a merotopic space equipped with a diamete...
A positive topological entropy is examined for impulsive differential equations via the associated P...
We study invariant measures of families of monotone twist maps S fl (q; p) = (2q \Gamma p + fl \Del...
Abstract. We introduce the notion of topologically positively expansive dynamical systems and compar...
In [1] the notion of topological entropy was introduced as a flow-isomorphism invariant. It was conj...
The topological entropy of an expansive map is equal to that of the corresponding symbolic system. T...
We present a simpler elementary proof on positive topological entropy of the N-buffer switched flow ...
The notions of expansive measures; expansive, positively expansive, measure-expansive, countably exp...
AbstractWe introduce the notions of weakly and strongly positively expansive (wPE and sPE, respectiv...
We introduce a concept of measure-theoretic entropy for flows and study its invariance under measure...
We prove that every C-1 diffeomorphism away from homoclinic tangencies is entropy expansive, with lo...
In this thesis we study topological entropy as an invariant of topological dynamical systems. The fi...
International audienceConsider a continuous map f on a compact metric space X and any continuous rea...
Abstract. Let (X, d, T) be a dynamical system, where (X, d) is a compact metric space and T: X → X a...
ABSTRACT. We show that for a $C^{1} $ one-dimensional map there is a hyperbolic Cantorset in aneighb...
summary:For mappings $f\,:\, S\rightarrow S$, where $S$ is a merotopic space equipped with a diamete...
A positive topological entropy is examined for impulsive differential equations via the associated P...
We study invariant measures of families of monotone twist maps S fl (q; p) = (2q \Gamma p + fl \Del...
Abstract. We introduce the notion of topologically positively expansive dynamical systems and compar...
In [1] the notion of topological entropy was introduced as a flow-isomorphism invariant. It was conj...
The topological entropy of an expansive map is equal to that of the corresponding symbolic system. T...
We present a simpler elementary proof on positive topological entropy of the N-buffer switched flow ...
The notions of expansive measures; expansive, positively expansive, measure-expansive, countably exp...
AbstractWe introduce the notions of weakly and strongly positively expansive (wPE and sPE, respectiv...
We introduce a concept of measure-theoretic entropy for flows and study its invariance under measure...
We prove that every C-1 diffeomorphism away from homoclinic tangencies is entropy expansive, with lo...
In this thesis we study topological entropy as an invariant of topological dynamical systems. The fi...
International audienceConsider a continuous map f on a compact metric space X and any continuous rea...
Abstract. Let (X, d, T) be a dynamical system, where (X, d) is a compact metric space and T: X → X a...
ABSTRACT. We show that for a $C^{1} $ one-dimensional map there is a hyperbolic Cantorset in aneighb...
summary:For mappings $f\,:\, S\rightarrow S$, where $S$ is a merotopic space equipped with a diamete...
A positive topological entropy is examined for impulsive differential equations via the associated P...
We study invariant measures of families of monotone twist maps S fl (q; p) = (2q \Gamma p + fl \Del...