Dynamics under covering maps and orbital convergence
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In this paper, we provide sufficient conditions under which any locally isometric covering semi-conjugation between two dynamical systems preserves various forms of expansivity and shadowing property. We also give necessary and sufficient conditions under which the orbital limit of an orbitally convergent sequence of functions admits various forms of expansivity and shadowing property.
Abstract
In this paper, we provide sufficient conditions under which any locally isometric covering semi-conjugation between two dynamical systems preserves various forms of expansivity and shadowing property. We also give necessary and sufficient conditions under which the orbital limit of an orbitally convergent sequence of functions admits various forms of expansivity and shadowing property.