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PRE-IMAGE ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS*
Authors:Xianjiu Huang  Xi Wen  Fanping Zeng
Institution:(1) Department of Mathematics, Nanchang University, Nanchang, 330031, China;(2) Department of Computer, Nanchang University, Nanchang, 330031, China;(3) Department of Mathematics, Liuzhou Theachers College, Liuzhou, 545004, China
Abstract:The authors define and study topological pre-image entropy for the non-autonomous discrete dynamical systems given by a sequence ${fi}_{\infty}^{i=1}$ of continuous self-maps of a compact topological space. The basic properties and the invariant with respect to equiconjugacy of pre-image entropy for the non-autonomous discrete dynamical systems are obtained. *This research is supported by the National Natural Science Foundation of China under Grant Nos. 10661001 and 10761007, Natural Science Foundation of Jiangxi under Grant No. 2007GZS2398, and partly by Nanchang University Science Foundation under Grant No. Z–03713.
Keywords:Equiconjugacy  non-autonomous  pre-image entropy  sequence of continuous self-maps
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