Devaney chaos plus shadowing implies distributional chaos
arXiv:1609.03168 · doi:10.1063/1.4962131
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.
accepted by Chaos