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2020 Specification properties for non-autonomous discrete systems
Mohammad Salman, Ruchi Das
Topol. Methods Nonlinear Anal. 55(2): 475-491 (2020). DOI: 10.12775/TMNA.2020.006

Abstract

In this paper notions of strong specification property and quasi-weak specification property for non-autonomous discrete systems are introduced and studied. It is shown that these properties are dynamical properties and are preserved under finite product. It is proved that a $k$-periodic non-autonomous system on intervals having weak specification is Devaney chaotic. Moreover, it is shown that if the system has strong specification then the result is true in general. Specification properties of induced systems on hyperspaces and probability measures spaces are also studied. Examples/counterexamples are provided wherever necessary to support results obtained.

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Mohammad Salman. Ruchi Das. "Specification properties for non-autonomous discrete systems." Topol. Methods Nonlinear Anal. 55 (2) 475 - 491, 2020. https://doi.org/10.12775/TMNA.2020.006

Information

Published: 2020
First available in Project Euclid: 11 June 2020

zbMATH: 07243981
MathSciNet: MR4131162
Digital Object Identifier: 10.12775/TMNA.2020.006

Rights: Copyright © 2020 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.55 • No. 2 • 2020
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