Article ID Journal Published Year Pages File Type
843134 Nonlinear Analysis: Theory, Methods & Applications 2010 8 Pages PDF
Abstract

An extended concept of δδ pseudo-orbit called δδ-ergodic pseudo-orbit is considered. If any δδ-ergodic pseudo-orbit of a system is shadowed by a point along a set of positive lower density then we show that this system is chain mixing and if it is minimal then it is topologically weakly mixing and so has Li–Yorke Chaos. A SFT has this property if and only if it is mixing.

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Physical Sciences and Engineering Engineering Engineering (General)
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