Add to ORKGAbstract Some properties of internally chain transitive sets for continuous maps in metric spaces are presented. Applications are made to attractivity, convergence, strong repellors, uniform persistence and permanence. A result of Schreiber on robust perma-nence is improved. Key words and phrases: Chain transitive sets, asymptotic pseudo-orbits, attractors, strong repellors, uniform persistence, robust permanence. AMS subject classifications: 34C35, 54H20, 58F12
Dynamical systems with trajectories given by sequences of sets are studied. For this class of genera...
We call a property is a stable (or robust) property if it holds for a system as well as all nearby s...
AbstractIn uniform spaces, inspired by ideas of Banach, Tarafdar and Yuan, we introduce the concepts...
One main task of smooth dynamical systems consists in finding a good decomposition into elementary p...
The global behavior of a dynamical system can be described by its Morse decompositions or its attrac...
International audienceFor a continuous flow on a compact metric space, the aim of this paper is to p...
Abstract. We discuss the relation between (topological) transitivity and strong transitivity of dyna...
n this paper we associate a pseudo-metric to a dynamical system on a compact metric space. We show t...
Abstract. In this paper we present equivalent definitions of chain recurrent set for continuous dyna...
Omega-limit sets are interesting and important objects in the study of discrete dynamical systems. U...
Abstract. By appealing to the theory of global attractors on complete metric spaces, we obtain weake...
The topological dynamics of continuous and noncontinuous dynamical systems are investigated. Various...
We present a general framework to study compact limit sets of trajectories for a class of nonautonom...
Using an explicit representation in terms of the logit map, we show, in a unilateral framework, that...
It is known by the Conley’s theorem that the chain recurrent set CR(’) of a deterministic flow’ on a...
Dynamical systems with trajectories given by sequences of sets are studied. For this class of genera...
We call a property is a stable (or robust) property if it holds for a system as well as all nearby s...
AbstractIn uniform spaces, inspired by ideas of Banach, Tarafdar and Yuan, we introduce the concepts...
One main task of smooth dynamical systems consists in finding a good decomposition into elementary p...
The global behavior of a dynamical system can be described by its Morse decompositions or its attrac...
International audienceFor a continuous flow on a compact metric space, the aim of this paper is to p...
Abstract. We discuss the relation between (topological) transitivity and strong transitivity of dyna...
n this paper we associate a pseudo-metric to a dynamical system on a compact metric space. We show t...
Abstract. In this paper we present equivalent definitions of chain recurrent set for continuous dyna...
Omega-limit sets are interesting and important objects in the study of discrete dynamical systems. U...
Abstract. By appealing to the theory of global attractors on complete metric spaces, we obtain weake...
The topological dynamics of continuous and noncontinuous dynamical systems are investigated. Various...
We present a general framework to study compact limit sets of trajectories for a class of nonautonom...
Using an explicit representation in terms of the logit map, we show, in a unilateral framework, that...
It is known by the Conley’s theorem that the chain recurrent set CR(’) of a deterministic flow’ on a...
Dynamical systems with trajectories given by sequences of sets are studied. For this class of genera...
We call a property is a stable (or robust) property if it holds for a system as well as all nearby s...
AbstractIn uniform spaces, inspired by ideas of Banach, Tarafdar and Yuan, we introduce the concepts...