Time dependence of information entropy of a dynamical system driven by quasimonochromatic noise

Yong Feng Guo; Wei Xu; Dong Xi Li; Liang Wang

Time dependence of information entropy of a dynamical system driven by quasimonochromatic noise

Yong Feng Guo, Wei Xu, Dong Xi Li, Liang Wang

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The quasimonochromatic noise (QMN) is the "truly colored" noise, and in this paper the time derivative of entropy for a dynamical system driven by QMN is studied. The dimension of Fokker-Planck equation is reduced by way of linear transformation. The exact time dependence of the entropy is calculated based on the definition of Shannon's information entropy. The relationship between the properties of QMN and dissipative parameters and their effect on the entropy is also discussed.

Original language	English
Pages (from-to)	2235-2239
Number of pages	5
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	59
Issue number	4
State	Published - Apr 2010

Keywords

Fokker-Planck equation
Information entropy
Quasi-monochromatic noise

Cite this

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title = "Time dependence of information entropy of a dynamical system driven by quasimonochromatic noise",

abstract = "The quasimonochromatic noise (QMN) is the {"}truly colored{"} noise, and in this paper the time derivative of entropy for a dynamical system driven by QMN is studied. The dimension of Fokker-Planck equation is reduced by way of linear transformation. The exact time dependence of the entropy is calculated based on the definition of Shannon's information entropy. The relationship between the properties of QMN and dissipative parameters and their effect on the entropy is also discussed.",

keywords = "Fokker-Planck equation, Information entropy, Quasi-monochromatic noise",

author = "Guo, {Yong Feng} and Wei Xu and Li, {Dong Xi} and Liang Wang",

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T1 - Time dependence of information entropy of a dynamical system driven by quasimonochromatic noise

AU - Guo, Yong Feng

AU - Xu, Wei

AU - Li, Dong Xi

AU - Wang, Liang

PY - 2010/4

Y1 - 2010/4

N2 - The quasimonochromatic noise (QMN) is the "truly colored" noise, and in this paper the time derivative of entropy for a dynamical system driven by QMN is studied. The dimension of Fokker-Planck equation is reduced by way of linear transformation. The exact time dependence of the entropy is calculated based on the definition of Shannon's information entropy. The relationship between the properties of QMN and dissipative parameters and their effect on the entropy is also discussed.

AB - The quasimonochromatic noise (QMN) is the "truly colored" noise, and in this paper the time derivative of entropy for a dynamical system driven by QMN is studied. The dimension of Fokker-Planck equation is reduced by way of linear transformation. The exact time dependence of the entropy is calculated based on the definition of Shannon's information entropy. The relationship between the properties of QMN and dissipative parameters and their effect on the entropy is also discussed.

KW - Fokker-Planck equation

KW - Information entropy

KW - Quasi-monochromatic noise

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M3 - 文章

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SN - 1000-3290

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JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 4

ER -

Time dependence of information entropy of a dynamical system driven by quasimonochromatic noise

Abstract

Keywords

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