TY - GEN
T1 - Mass-dependent instability of a stochastic oscillator
AU - Gitterman, M.
AU - Kessler, D. A.
PY - 2013
Y1 - 2013
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.
UR - http://www.scopus.com/inward/record.url?scp=84883659013&partnerID=8YFLogxK
U2 - 10.1109/icnf.2013.6578942
DO - 10.1109/icnf.2013.6578942
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AN - SCOPUS:84883659013
SN - 9781479906680
T3 - 2013 22nd International Conference on Noise and Fluctuations, ICNF 2013
BT - 2013 22nd International Conference on Noise and Fluctuations, ICNF 2013
T2 - 2013 22nd International Conference on Noise and Fluctuations, ICNF 2013
Y2 - 24 June 2013 through 28 June 2013
ER -
