TY - JOUR
T1 - Stochastic resonance in a time-delayed asymmetric bistable system with mixed periodic signal
AU - Guo, Yong Feng
AU - Xu, Wei
AU - Wang, Liang
PY - 2010
Y1 - 2010
N2 - This paper studies the phenomenon of stochastic resonance in an asymmetric bistable system with time-delayed feedback and mixed periodic signal by using the theory of signal-to-noise ratio in the adiabatic limit. A general approximate Fokker-Planck equation and the expression of the signal-to-noise ratio are derived through the small time delay approximation at both fundamental harmonics and mixed harmonics. The effects of the additive noise intensity Q, multiplicative noise intensity D, static asymmetry r and delay time τ on the signal-to-noise ratio are discussed. It is found that the higher mixed harmonics and the static asymmetry r can restrain stochastic resonance, and the delay time τ can enhance stochastic resonance. Moreover, the longer the delay time τ is, the larger the additive noise intensity Q and the multiplicative noise intensity D are, when the stochastic resonance appears.
AB - This paper studies the phenomenon of stochastic resonance in an asymmetric bistable system with time-delayed feedback and mixed periodic signal by using the theory of signal-to-noise ratio in the adiabatic limit. A general approximate Fokker-Planck equation and the expression of the signal-to-noise ratio are derived through the small time delay approximation at both fundamental harmonics and mixed harmonics. The effects of the additive noise intensity Q, multiplicative noise intensity D, static asymmetry r and delay time τ on the signal-to-noise ratio are discussed. It is found that the higher mixed harmonics and the static asymmetry r can restrain stochastic resonance, and the delay time τ can enhance stochastic resonance. Moreover, the longer the delay time τ is, the larger the additive noise intensity Q and the multiplicative noise intensity D are, when the stochastic resonance appears.
KW - Mixed periodic signal
KW - Signal-to-noise ratio
KW - Stochastic resonance
KW - Time-delayed feedback
UR - http://www.scopus.com/inward/record.url?scp=77951613918&partnerID=8YFLogxK
U2 - 10.1088/1674-1056/19/4/040503
DO - 10.1088/1674-1056/19/4/040503
M3 - 文章
AN - SCOPUS:77951613918
SN - 1674-1056
VL - 19
JO - Chinese Physics B
JF - Chinese Physics B
IS - 4
M1 - 040503
ER -