基于Shannon熵的Lorenz系统信息复杂度的数值研究

IF 1.3 4区工程技术 Q3 MECHANICS

Fluid Dynamics Research Pub Date : 2022-08-26 DOI:10.1088/1873-7005/ac8d29

Sen Zhang, Tao Jia

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引用次数: 0

摘要

为了量化洛伦兹系统中嵌入的信息，在与普朗特数、瑞利数、，和液体层尺寸。采用广义自回归条件异方差模型来表示Shannon熵随三个参数的变化。

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Numerical investigation of the information complexity in Lorenz system based on Shannon entropy

To quantify the information embedded in the Lorenz system, the Shannon entropies (also named information entropies) of the convection rate, the horizontal temperature variation, and the vertical temperature variation are calculated under the conditions of different values of the three parameters which are proportional to Prandtl number, Rayleigh number, and the liquid layer dimension respectively. Generalized autoregressive conditional heteroskedasticity models are employed to represent the change of the Shannon entropies with that of the three parameters.

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来源期刊

Fluid Dynamics Research 物理-力学

CiteScore

2.90

自引率

6.70%

发文量

审稿时长

5 months

期刊介绍： Fluid Dynamics Research publishes original and creative works in all fields of fluid dynamics. The scope includes theoretical, numerical and experimental studies that contribute to the fundamental understanding and/or application of fluid phenomena.