TY - GEN

T1 - Mass-dependent instability of an oscillator with additive and multiplicative random forces

AU - Gitterman, M.

AU - Kessler, D.

PY - 2013

Y1 - 2013

N2 - We study the instability of a harmonic oscillator subject to additive and dichotomous multpicalive noise, focusing on the dependence 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 stifness, the situation is more complicate and in fact the energy transition is reentrant for intermidiate noise strength and damping. For multiplicative noise of 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 instability of a harmonic oscillator subject to additive and dichotomous multpicalive noise, focusing on the dependence 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 stifness, the situation is more complicate and in fact the energy transition is reentrant for intermidiate noise strength and damping. For multiplicative noise of the mass, taking the velocity to be conserved as the mass is changed, we find that increasing the mass destabilizes the system.

KW - energy instability

KW - multiplicative noise

UR - http://www.scopus.com/inward/record.url?scp=84887516108&partnerID=8YFLogxK

U2 - 10.1063/1.4825913

DO - 10.1063/1.4825913

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AN - SCOPUS:84887516108

SN - 9780735411845

T3 - AIP Conference Proceedings

SP - 1940

EP - 1942

BT - 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013

T2 - 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013

Y2 - 21 September 2013 through 27 September 2013

ER -