Influence of noise on systems described by a Mathieu equation

Moshe Gitterman; Richard I. Shrager; George H. Weiss

doi:10.1016/0375-9601(89)90165-5

Influence of noise on systems described by a Mathieu equation

Moshe Gitterman
, Richard I. Shrager
, George H. Weiss

Department of Physics - at Bar-Ilan University

National Institutes of Health

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

13 Scopus citations

Abstract

We investigate some stochastic properties of a Mathieu equation in the presence of additive white noise. Our calculations indicate that the varied qualitative behavior predicted for systems with periodic coefficients are reflected also in the behavior of the variance of the dynamic variables.

Original language	English
Pages (from-to)	84-88
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	142
Issue number	2-3
DOIs	https://doi.org/10.1016/0375-9601(89)90165-5
State	Published - 4 Dec 1989

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title = "Influence of noise on systems described by a Mathieu equation",

abstract = "We investigate some stochastic properties of a Mathieu equation in the presence of additive white noise. Our calculations indicate that the varied qualitative behavior predicted for systems with periodic coefficients are reflected also in the behavior of the variance of the dynamic variables.",

author = "Moshe Gitterman and Shrager, \{Richard I.\} and Weiss, \{George H.\}",

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AU - Weiss, George H.

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N2 - We investigate some stochastic properties of a Mathieu equation in the presence of additive white noise. Our calculations indicate that the varied qualitative behavior predicted for systems with periodic coefficients are reflected also in the behavior of the variance of the dynamic variables.

AB - We investigate some stochastic properties of a Mathieu equation in the presence of additive white noise. Our calculations indicate that the varied qualitative behavior predicted for systems with periodic coefficients are reflected also in the behavior of the variance of the dynamic variables.

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

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Influence of noise on systems described by a Mathieu equation

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