Specification Properties for Non-Autonomous Discrete Systems

Mohammad Salman, Ruchi Das

Published 2018-08-23Version 1

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 whereas if the system has strong specification then the result is true in general. Specification properties of induced systems on hyperspaces and probability measurable spaces are also studied. Examples/counter examples are provided wherever necessary to support results obtained.