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Far East Journal of Dynamical Systems

Far East Journal of Dynamical Systems
Volume 30, Issue 2, Pages 59 - 75 (June 2018)
http://dx.doi.org/10.17654/DS030020059

ENTROPY OF A SEMI-FLOW FOR RECURRENCE TIME

Wei Wang

Abstract:

Based on the theory of Carathéodory, we introduce entropy and multifractal spectrum associated with Poincaré recurrences for a semi-flow. Moreover, an exact formula on multifractal spectrum of local entropies of a semi-flow for recurrence time is established.

Keywords and phrases:

entropy, semi-flow, multifractal analysis, Poincaré recurrence.

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