some remarks on chaos in topological dynamics

Clicks: 266
ID: 162789
2011
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Abstract
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 show that a TDS (T, f) is transitive but not mixing if and only if (T, f) is Li-Yorke sensitive but not chaotic, where T is a tree. Moreover, we compare such chaos with other notions of chaos.
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wang2011appliedsome Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Huoyung Wang;Heman Fu
Journal Health and quality of life outcomes
Year 2011
DOI
10.4995/agt.2011.1645
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