TY - JOUR
T1 - Stochastic resonance in a bistable system with time-delayed feedback loops
AU - Li, Dong Xi
AU - Xu, Wei
AU - Wang, Liang
AU - Xu, Yong
PY - 2008/8/15
Y1 - 2008/8/15
N2 - The phenomenon of stochastic resonance of a bistable system subjected to linear time-delayed feedback loops driven by multiplicative Gaussian coloured noise and additive Gaussian white noise is investigated. Firstly, the analytic expression of the quasi-steady distribution function Ps(x,t) is derived by applying the unified coloured noise approximation and the Novikov Theorem; Secondly, the expression of the signal-to-noise ratio (SNR) is obtained in the adiabatic limit to quantify the stochastic resonance. Finally, the effects of the linear coefficient a, the nonlinear coefficient b, the linear time-delayed feedback coefficient c and the delay time τ on P s(x,t) and SNR± are discussed. It is found that the effects of the linear coefficient and the nonlinear coefficient, the positive linear time-delayed feedback coefficient and the negative linear time-delayed feedback coefficient, the positive delayed time and the negative delayed time on Ps(x,t) and SNR± are different, respectively. This discussion would be helpful to the study of the system reliability and controlling stochastic resonance.
AB - The phenomenon of stochastic resonance of a bistable system subjected to linear time-delayed feedback loops driven by multiplicative Gaussian coloured noise and additive Gaussian white noise is investigated. Firstly, the analytic expression of the quasi-steady distribution function Ps(x,t) is derived by applying the unified coloured noise approximation and the Novikov Theorem; Secondly, the expression of the signal-to-noise ratio (SNR) is obtained in the adiabatic limit to quantify the stochastic resonance. Finally, the effects of the linear coefficient a, the nonlinear coefficient b, the linear time-delayed feedback coefficient c and the delay time τ on P s(x,t) and SNR± are discussed. It is found that the effects of the linear coefficient and the nonlinear coefficient, the positive linear time-delayed feedback coefficient and the negative linear time-delayed feedback coefficient, the positive delayed time and the negative delayed time on Ps(x,t) and SNR± are different, respectively. This discussion would be helpful to the study of the system reliability and controlling stochastic resonance.
KW - Bistable system
KW - Linear time-delayed feedback loops
KW - Stochastic resonance
UR - http://www.scopus.com/inward/record.url?scp=51349162165&partnerID=8YFLogxK
U2 - 10.1088/0253-6102/50/2/24
DO - 10.1088/0253-6102/50/2/24
M3 - 文章
AN - SCOPUS:51349162165
SN - 0253-6102
VL - 50
SP - 396
EP - 402
JO - Communications in Theoretical Physics
JF - Communications in Theoretical Physics
IS - 2
ER -