Stochastic oscillator: Brownian motion with adhesion

M. Gitterman

doi:10.1007/978-1-4614-7385-5_5

Stochastic oscillator: Brownian motion with adhesion

M. Gitterman

Department of Physics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We consider an oscillator with a random mass for which the particles of the surrounding medium adhere to the oscillator for some random time after the collision (Brownian motion with adhesion). This is another form of a stochastic oscillator, different from oscillator usually studied that is subject to a random force or having random frequency or random damping. A comparison is performed for the first two moments, stability analysis and different resonance phenomena (stochastic resonance, vibration resonance) for stochastic oscillators subject to external periodic force as well as to linear and quadratic, white, dichotomous, and trichotomous noises.

Original language	English
Title of host publication	Modeling and Simulation in Science, Engineering and Technology
Publisher	Springer Basel
Pages	79-98
Number of pages	20
DOIs	https://doi.org/10.1007/978-1-4614-7385-5_5
State	Published - 2013

Publication series

Name	Modeling and Simulation in Science, Engineering and Technology
Volume	60
ISSN (Print)	2164-3679
ISSN (Electronic)	2164-3725

Bibliographical note

Publisher Copyright:
© 2013, Springer Science+Business Media New York.

Keywords

Bounded noises
Brownian motion with adhesion
Dichotomous and trichotomous noises
Resonance
Stochastic oscillators

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10.1007/978-1-4614-7385-5_5

Cite this

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AB - We consider an oscillator with a random mass for which the particles of the surrounding medium adhere to the oscillator for some random time after the collision (Brownian motion with adhesion). This is another form of a stochastic oscillator, different from oscillator usually studied that is subject to a random force or having random frequency or random damping. A comparison is performed for the first two moments, stability analysis and different resonance phenomena (stochastic resonance, vibration resonance) for stochastic oscillators subject to external periodic force as well as to linear and quadratic, white, dichotomous, and trichotomous noises.

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KW - Dichotomous and trichotomous noises

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Stochastic oscillator: Brownian motion with adhesion

Abstract

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