The aim of this paper is to introduce the notion of ergodic shadowing for a continuous

onto map which is equivalent to the map being topologically mixing and has the

ordinary shadowing property. In particular, ...

In this paper we address the existence and ergodicity of non-uniformly hyperbolic attracting sets for a

certain class of smooth endomorphisms on the solid torus. Such systems have formulation as a skew product system ...

Abstract. The article is devoted to exhibit some general properties of strong

chain recurrent set and strong chain transitive components for a continuous

map f on a compact metric space X. We investigate the ...