Devaney chaos plus shadowing implies distributional chaos

Published 11 Sep 2016 in math.DS | (1609.03168v1)

Abstract: We explore connections among the regional proximal relation, the asymptotic relation and the distal relation for a topological dynamical system with the shadowing property, and show that if a Devaney chaotic system has the shadowing property then it is distributionally chaotic.

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