Multifractal analysis of local entropies for recurrence time

Zhenzhen Yan; Ercai Chen

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Multifractal analysis of local entropies for recurrence time

机译：回归时间的局部熵的多重分形分析

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摘要

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.

机译：我们介绍了与庞加莱递归相关的局部熵和多重分形谱。通过使用动力学系统的特征，我们在局部熵的多重分形谱上为递归时间建立了精确的公式。

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《Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science》 |2007年第5期|共8页
作者
Zhenzhen Yan; Ercai Chen;
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正文语种 eng
中图分类微分方程、积分方程;
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1. Multifractal analysis of local entropies for recurrence time [J] . Zhenzhen Yan, Ercai Chen Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2007,第5期

机译：回归时间的局部熵的多重分形分析
2. Variational analysis for the multifractal spectra of local entropies and Lyapunov exponents [J] . Meson AM, Vericat F Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2004,第5期

机译：局部熵和李雅普诺夫指数的多重分形谱的变分分析
3. Multifractal Analysis of Local Entropies for Expansive Homeomorphisms with Specification [J] . Floris Takens, Evgeny Verbitski Communications in Mathematical Physics . 1999,第3期

机译：具有规范的膨胀同胚的局部熵的多重分形分析
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7. General multifractal analysis of local entropies [O] . Takens Floris, Verbitski Evgeny 2000

机译：局部熵的一般多重分形分析

Multifractal analysis of local entropies for recurrence time

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