Positive Entropy Through Pointwise Dynamics

Abstract

We define some pointwise properties of topological dynamical systems and give pointwise conditions for such a system possesses positive topological entropy. We give sufficient conditions to obtain positive topological entropy for maps which are approximated by maps with the shadowing property in a uniform way.

8 pages

References in corpus (1)

• N-expansive homeomorphisms with the shadowing property

Cited by in corpus (1)

• On The Entropy of Continuous Flows With Uniformly Expansive Points and The Globalness of Shadowable Points With Gaps