Weak topological conjugacy via character of recurrence on impulsive dynamical systems

TL;DR

This paper introduces the concept of weak topological conjugacy in impulsive dynamical systems and provides conditions for establishing this conjugacy using recurrence properties.

Contribution

It defines weak topological conjugacy and offers new criteria based on recurrence to determine conjugacy between limit sets in impulsive systems.

Findings

Established sufficient conditions for weak topological conjugacy.

Utilized recurrence character to derive conjugacy results.

Extended the theory of conjugacy to impulsive dynamical systems.

Abstract

In the present paper, we define the concept of weak topological conjugacy and we establish sufficient conditions to obtain this kind of topological conjugacy between two limit sets. We use the character of recurrence to obtain the results.