Continuous semi-flows with the almost average shadowing property

Mukta Garg and Ruchi Das

Chaos, Solitons & Fractals, 2017, vol. 105, issue C, 1-7

Abstract: In this article, we introduce the notion of almost average shadowing property (ALASP) for continuous semi-flows and study its properties. We give a class of continuous semi-flows possessing the ALASP. We also investigate the relationship of the ALASP with various known dynamical properties for continuous semi-flows, for instance, topological transitivity, weak mixing, strong ergodicity, equicontinuity, sensitivity, Li-Yorke chaos and Takens and Ruelle chaos.

Keywords: Almost average shadowing property; Continuous semi-flows; Topological transitivity; Weak mixing; Strong ergodicity (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:105:y:2017:i:c:p:1-7

DOI: 10.1016/j.chaos.2017.10.005

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