Multi-sensitivity and other stronger forms of sensitivity in non-autonomous discrete systems

Mohammad Salman and Ruchi Das

Chaos, Solitons & Fractals, 2018, vol. 115, issue C, 341-348

Abstract: In this paper we obtain different sufficient conditions for a non-autonomous discrete system to be multi-sensitivite. We study properties of a multi-sensitive non-autonomous system in detail. It is proved that on a compact metric space every finitely generated non-autonomous system which is topologically transitive having dense set of periodic points is thickly syndetically sensitive. We introduce and study the notion of totally sensitive non-autonomous systems. We also provide counter examples to support our results.

Keywords: Non-autonomous dynamical systems; Sensitivity; Multi-sensitivity (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:115:y:2018:i:c:p:341-348

DOI: 10.1016/j.chaos.2018.07.031

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