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Rate of escape from nonattracting chaotic sets

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Abstract

Chaotic transient phenomena occur in the vicinity of nonattracting chaotic sets. The rate of escape measures the average length of the transients. There is a conjecture by Eckmann and Ruelle connecting the rate of escape to the Lyapunov exponents and entropy. We prove an inequality that partially supports the conjecture.

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Authors and Affiliations

  1. Department of Mathematics, Michigan State University, 48824, East Lansing, Michigan

    Yingjie Zhang

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  1. Yingjie Zhang
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Zhang, Y. Rate of escape from nonattracting chaotic sets. J Stat Phys 82, 1371–1384 (1996). https://doi.org/10.1007/BF02183387

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  • DOI: https://doi.org/10.1007/BF02183387

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