TY  - JOUR
A1  - Landa, Polina S.
A1  - Ushakov, Vladimir
A1  - Kurths, Jürgen
T1  - Rigorous theory of stochastic resonance in overdamped bistable oscillators for weak signals
JF  - Chaos, solitons & fractals : applications in science and engineering
N2  - The results of the theoretical consideration of stochastic resonance in overdamped bistable oscillators are given. These results are founded not on the model of two states as in [McNamara B, Wiesenfeld K. Theory of stochastic resonance. Phys Rev A 1989;39:4854-69], but on splitting of motion into regular and random and the rigorous solution of the Fokker-Planck equation for the random component. We show that this resonance is caused by a change, under the influence of noise, of the system's effective stiffness and damping factor contained in the equation for the regular component. For a certain value of the noise intensity the effective stiffness is minimal, and this fact causes non-monotonic change of the output signal amplitude as the noise intensity changes. It is important that the location of the minimum and its value depend essentially on the signal frequency.
Y1  - 2006
UR  - http://www.sciencedirect.com/science/journal/09600779
U6  - https://doi.org/10.1016/j.chaos.2005.08.116
SN  - 0960-0779
VL  - 30
IS  - 3
SP  - 574
EP  - 578
PB  - Elsevier
CY  - Amsterdam
ER  -