Rate of escape from nonattracting chaotic sets |
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| Authors: | Yingjie Zhang |
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| Affiliation: | (1) Department of Mathematics, Michigan State University, 48824 East Lansing, Michigan |
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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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| Keywords: | Rate of escape chaotic transients Lyapunov exponents entropy |
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