Mass-dependent instability of a stochastic oscillator

M. Gitterman; D. A. Kessler

doi:10.1109/icnf.2013.6578942

Mass-dependent instability of a stochastic oscillator

M. Gitterman
, D. A. Kessler

Department of Physics - at Bar-Ilan University

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

Abstract

We study the instabilities of a harmonic oscillator subject to additive and dichotomous multiplicative noise, focussing on the dependance of the instability threshold on the mass. For multiplicative noise in the damping, the energy instability threshold is crossed as the mass is decreased, as long as the smaller damping is in fact negative. For multiplicative noise in the stiffness, the situation is more complicated and in fact the energy transition is reentrant for intermediate noise strength and damping. For multiplicative noise in the mass, taking the velocity to be conserved as the mass is changed, we find that increasing the mass destabilizes the system.

Original language	English
Title of host publication	2013 22nd International Conference on Noise and Fluctuations, ICNF 2013
DOIs	https://doi.org/10.1109/icnf.2013.6578942
State	Published - 2013
Event	2013 22nd International Conference on Noise and Fluctuations, ICNF 2013 - Montpellier, France Duration: 24 Jun 2013 → 28 Jun 2013

Publication series

Name	2013 22nd International Conference on Noise and Fluctuations, ICNF 2013

Conference

Conference	2013 22nd International Conference on Noise and Fluctuations, ICNF 2013
Country/Territory	France
City	Montpellier
Period	24/06/13 → 28/06/13

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

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10.1109/icnf.2013.6578942

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title = "Mass-dependent instability of a stochastic oscillator",

abstract = "We study the instabilities of a harmonic oscillator subject to additive and dichotomous multiplicative noise, focussing on the dependance of the instability threshold on the mass. For multiplicative noise in the damping, the energy instability threshold is crossed as the mass is decreased, as long as the smaller damping is in fact negative. For multiplicative noise in the stiffness, the situation is more complicated and in fact the energy transition is reentrant for intermediate noise strength and damping. For multiplicative noise in the mass, taking the velocity to be conserved as the mass is changed, we find that increasing the mass destabilizes the system.",

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doi = "10.1109/icnf.2013.6578942",

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note = "2013 22nd International Conference on Noise and Fluctuations, ICNF 2013 ; Conference date: 24-06-2013 Through 28-06-2013",

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Gitterman, M & Kessler, DA 2013, Mass-dependent instability of a stochastic oscillator. in 2013 22nd International Conference on Noise and Fluctuations, ICNF 2013., 6578942, 2013 22nd International Conference on Noise and Fluctuations, ICNF 2013, 2013 22nd International Conference on Noise and Fluctuations, ICNF 2013, Montpellier, France, 24/06/13. https://doi.org/10.1109/icnf.2013.6578942

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N2 - We study the instabilities of a harmonic oscillator subject to additive and dichotomous multiplicative noise, focussing on the dependance of the instability threshold on the mass. For multiplicative noise in the damping, the energy instability threshold is crossed as the mass is decreased, as long as the smaller damping is in fact negative. For multiplicative noise in the stiffness, the situation is more complicated and in fact the energy transition is reentrant for intermediate noise strength and damping. For multiplicative noise in the mass, taking the velocity to be conserved as the mass is changed, we find that increasing the mass destabilizes the system.

AB - We study the instabilities of a harmonic oscillator subject to additive and dichotomous multiplicative noise, focussing on the dependance of the instability threshold on the mass. For multiplicative noise in the damping, the energy instability threshold is crossed as the mass is decreased, as long as the smaller damping is in fact negative. For multiplicative noise in the stiffness, the situation is more complicated and in fact the energy transition is reentrant for intermediate noise strength and damping. For multiplicative noise in the mass, taking the velocity to be conserved as the mass is changed, we find that increasing the mass destabilizes the system.

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ER -

Mass-dependent instability of a stochastic oscillator

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