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Multifractal analysis of local entropies for recurrence time

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  • Yan, Zhenzhen
  • Chen, Ercai

Abstract

We introduce local entropies and multifractal spectra associated with Poincaré recurrences. By using characteristics of a dynamical system we establish an exact formula on multifractal spectrum of local entropies for recurrence time.

Suggested Citation

  • Yan, Zhenzhen & Chen, Ercai, 2007. "Multifractal analysis of local entropies for recurrence time," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1584-1591.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:5:p:1584-1591
    DOI: 10.1016/j.chaos.2006.03.025
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    References listed on IDEAS

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    1. El Naschie, M.S., 2005. "A guide to the mathematics of E-infinity Cantorian spacetime theory," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 955-964.
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    Cited by:

    1. Shao, Xiang & Lu, Rongliang & Zhao, Cao, 2017. "Multifractal analysis of weighted local entropies," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 1-7.

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