Upper bound for the time derivative of entropy for a stochastic dynamical system with double singularities driven by non-Gaussian noise
A stochastic dynamical system with double singularities driven by non-Gaussian noise is investigated. The Fokker Plank equation of the system is obtained through the path-integral approach and the method of transformation. Based on the definition of Shannon's information entropy and the Schwartz ine...
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Published in | Chinese physics B Vol. 19; no. 3; pp. 233 - 238 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
IOP Publishing
01.03.2010
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Subjects | |
Online Access | Get full text |
ISSN | 1674-1056 2058-3834 |
DOI | 10.1088/1674-1056/19/3/030520 |
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Summary: | A stochastic dynamical system with double singularities driven by non-Gaussian noise is investigated. The Fokker Plank equation of the system is obtained through the path-integral approach and the method of transformation. Based on the definition of Shannon's information entropy and the Schwartz inequality principle, the upper bound for the time derivative of entropy is calculated both in the absence and in the presence of non-equilibrium constraint. The present calculations can be used to interpret the effects of the system dissipative parameter, the system singularity strength parameter, the noise correlation time and the noise deviation parameter on the upper bound. |
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Bibliography: | O175.1 TN911.4 non-Gaussian noise, stochastic dynamical system with double singularities, informationentropy, upper bound for the time derivative of entropy 11-5639/O4 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 ObjectType-Article-2 ObjectType-Feature-1 |
ISSN: | 1674-1056 2058-3834 |
DOI: | 10.1088/1674-1056/19/3/030520 |