Pre-image entropy for free semigroup actions

Wen-Chiao Cheng

Chaos, Solitons & Fractals, 2016, vol. 91, issue C, 286-290

Abstract: The purpose of this study is to indicate fundamental propositions of the pre-image entropy related to a system proposed by Bufetov [Bufetov A. Topological entropy of free semigroup actions and skew-product transformations. J Dyn Control Syst 1999;5:137–143. 1.] for generating free semigroup actions. This study reveals the formula for the pre-image entropy of skew-product transformation with respect to the one-sided shift space. Finally, one example is presented to show how to obtain the pre-image entropy value for the skew-product transformation.

Keywords: Pre-image entropy; Free semigroup action; Power rule; Skew-product transformation (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:91:y:2016:i:c:p:286-290

DOI: 10.1016/j.chaos.2016.06.011

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