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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Theory of stochastic resonance for small signals in weakly damped bistable oscillators.
AU - Landa, P. S.
AU - Khovanov, I. A.
AU - McClintock, Peter V. E.
PY - 2008
Y1 - 2008
N2 - The response of a weakly-damped bistable oscillator to an external periodic force is considered theoretically. In the approximation of weak signals we can write a linearized equation for the signal and the corresponding nonlinear equation for the noise. These equations contain two unknown parameters: an effective stiffness and an additional damping factor. In the case of the weakly-damped bistable oscillator, considered here, the two-dimensional Fokker-Planck equation corresponding to the equation for the noise can be solved approximately by changing to a slow variable ("energy") and applying a method of successive approximation. This approach allows us to find the unknown parameters and to calculate the amplitude ratio of the output and input signals, i.e. the gain factor.
AB - The response of a weakly-damped bistable oscillator to an external periodic force is considered theoretically. In the approximation of weak signals we can write a linearized equation for the signal and the corresponding nonlinear equation for the noise. These equations contain two unknown parameters: an effective stiffness and an additional damping factor. In the case of the weakly-damped bistable oscillator, considered here, the two-dimensional Fokker-Planck equation corresponding to the equation for the noise can be solved approximately by changing to a slow variable ("energy") and applying a method of successive approximation. This approach allows us to find the unknown parameters and to calculate the amplitude ratio of the output and input signals, i.e. the gain factor.
KW - Fokker-Planck equation
KW - noise
KW - nonlinear equations
KW - stochastic processes
UR - http://www.scopus.com/inward/record.url?scp=40749143613&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.77.011111
DO - 10.1103/PhysRevE.77.011111
M3 - Journal article
VL - 77
JO - Physical Review E
JF - Physical Review E
SN - 1539-3755
IS - 1
M1 - 011111
ER -