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PRE-IMAGE ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS*

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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.

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Authors and Affiliations

  1. Department of Mathematics, Nanchang University, Nanchang, 330031, China

    Xianjiu Huang

  2. Department of Computer, Nanchang University, Nanchang, 330031, China

    Xi Wen

  3. Department of Mathematics, Liuzhou Theachers College, Liuzhou, 545004, China

    Fanping Zeng

Authors
  1. Xianjiu Huang
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  2. Xi Wen
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  3. Fanping Zeng
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Corresponding author

Correspondence to Xianjiu Huang.

Additional information

*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.

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Huang, X., Wen, X. & Zeng, F. PRE-IMAGE ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS*. J Syst Sci Complex 21, 441–445 (2008). https://doi.org/10.1007/s11424-008-9125-7

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  • DOI: https://doi.org/10.1007/s11424-008-9125-7

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