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Chaos for the Sierpinski Carpet

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Abstract

We study the chaotic behavior of the Sierpinski carpet. It is proved that this dynamical system has a chaotic set whose Hausdorff dimension equals that of the Sierpinski carpet.

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Authors and Affiliations

  1. Department of Astronomy, Nanjing University, Nanjing, 210093, China

    Chen Ercai

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  1. Chen Ercai
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Ercai, C. Chaos for the Sierpinski Carpet. Journal of Statistical Physics 88, 979–984 (1997). https://doi.org/10.1023/B:JOSS.0000015182.90436.5b

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  • DOI: https://doi.org/10.1023/B:JOSS.0000015182.90436.5b

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