Time evolution of information entropy for a stochastic system with double singularities driven by quasimonochromatic noise

doi:10.1088/1674-1056/21/12/120501

Chin. Phys. B ›› 2012, Vol. 21 ›› Issue (12): 120501-120501.doi: 10.1088/1674-1056/21/12/120501

Time evolution of information entropy for a stochastic system with double singularities driven by quasimonochromatic noise

郭永峰, 谭建国

School of Science, Tianjin Polytechnic University, Tianjin 300387, China

收稿日期:2012-04-06 修回日期:2012-05-18 出版日期:2012-11-01 发布日期:2012-11-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11102132).

Time evolution of information entropy for a stochastic system with double singularities driven by quasimonochromatic noise

Guo Yong-Feng (郭永峰), Tan Jian-Guo (谭建国)

School of Science, Tianjin Polytechnic University, Tianjin 300387, China

Received:2012-04-06 Revised:2012-05-18 Online:2012-11-01 Published:2012-11-01
Contact: Guo Yong-Feng E-mail:guoyongfeng@mail.nwpu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11102132).

摘要/Abstract

摘要： This paper deals with the time evolution of information entropy for a stochastic system with double singularities driven by quasimonochromatic noise. The dimension of Fokker-Planck equation is reduced by the linear transformation. The exact expression of the time dependence of information entropy is obtained based on the definition of Shannon's information entropy. The relationships between the properties of dissipative parameters, system singularity strength parameter, quasimonochromatic noise, and their effects on information entropy are discussed.

关键词: information entropy, quasimonochromatic noise, Fokker-Planck equation, stochastic system with double singularities

Abstract: This paper deals with the time evolution of information entropy for a stochastic system with double singularities driven by quasimonochromatic noise. The dimension of Fokker-Planck equation is reduced by the linear transformation. The exact expression of the time dependence of information entropy is obtained based on the definition of Shannon's information entropy. The relationships between the properties of dissipative parameters, system singularity strength parameter, quasimonochromatic noise, and their effects on information entropy are discussed.

Key words: information entropy, quasimonochromatic noise, Fokker-Planck equation, stochastic system with double singularities

中图分类号: (Classical statistical mechanics)

05.20.-y

05.70.Ln (Nonequilibrium and irreversible thermodynamics) 05.45.-a (Nonlinear dynamics and chaos)

郭永峰, 谭建国. Time evolution of information entropy for a stochastic system with double singularities driven by quasimonochromatic noise[J]. Chin. Phys. B, 2012, 21(12): 120501-120501.

Guo Yong-Feng (郭永峰), Tan Jian-Guo (谭建国). Time evolution of information entropy for a stochastic system with double singularities driven by quasimonochromatic noise[J]. Chin. Phys. B, 2012, 21(12): 120501-120501.

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Time evolution of information entropy for a stochastic system with double singularities driven by quasimonochromatic noise

Time evolution of information entropy for a stochastic system with double singularities driven by quasimonochromatic noise

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