Some remarks on chaos in topological dynamics

Bau-Sen Du introduced a notion of chaos which is stronger than Li-Yorke sensitivity. A TDS (X, f) is called chaotic if there is a positive e such that for any x and any nonempty open set V of X there is a point y in V such that the pair (x, y) is proximal but not e-asymptotic. In this article, we sh...

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Bibliographic Details
Main Authors: Huoyung Wang, Heman Fu
Format: Article
Language:English
Published: Universitat Politècnica de València 2011-10-01
Series:Applied General Topology
Subjects:
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1645