In the paper, we investigate a globally coupled linear system with finite subunits subject to temporal periodic force and with multiplicative dichotomous noise. It is shown that, the global coupling among the subunits...In the paper, we investigate a globally coupled linear system with finite subunits subject to temporal periodic force and with multiplicative dichotomous noise. It is shown that, the global coupling among the subunits can hugely enhance the phenomenon of SR for the amplitude of the average mean field as the functions of the transition rate of the noise and that as the function of the frequency of the signal respectively.展开更多
The transport of particles induced by multiplicative dichotomous noise for a system is investigated. The stationary probability current is derived. It is shown that, for the system studied by us, the spatial asymmetry...The transport of particles induced by multiplicative dichotomous noise for a system is investigated. The stationary probability current is derived. It is shown that, for the system studied by us, the spatial asymmetry is the ingredient for the nonzero stationary current.展开更多
A three-state Markovian noise is investigated.Its probability density and statistical properties are obtained. Escape of particles for a system with potential barrier only driven by this noise is investigated.It is sh...A three-state Markovian noise is investigated.Its probability density and statistical properties are obtained. Escape of particles for a system with potential barrier only driven by this noise is investigated.It is shown that,in some circumstances,this noise can make the particles escape over the potential barrier;but in other circumstances,it cannot. Resonant activation phenomenon appears for the system considered by us.展开更多
In the paper, we study a linear system driven by O-U noise and give a method which is different from the one stated in Europhys. Lett. 40 （1997） 117. We find the same phenomenon of multiplicative stochastic resonanc...In the paper, we study a linear system driven by O-U noise and give a method which is different from the one stated in Europhys. Lett. 40 （1997） 117. We find the same phenomenon of multiplicative stochastic resonance for the response of the system to the signal as the one found in Europhys. Left. 40 （1997） 117. The merit of our method is that it prevents the complex formulas when making sum from n = 0 to n →∞ as in Europhys. Lett. 40 （1997） 117, which leads to the approximate results of the figures.展开更多
In this paper,an electric system with two dichotomous resistors is investigated.It is shown that thissystem can display two stochastic resonances,which are the amplitude of the periodic response as the functions of th...In this paper,an electric system with two dichotomous resistors is investigated.It is shown that thissystem can display two stochastic resonances,which are the amplitude of the periodic response as the functions of thetwo dichotomous resistors strengthes respectively.In the limits of Gaussian white noise and shot white noise(i.e.,thetwo noises are both Gaussian white noise or shot white noise),no phenomena of resonance appear.By further study,we find that when the system is with three or more multiplicative telegraphic noises,there are three or more stochasticresonances.展开更多
基金supported by the Ningbo's Supplement of National Natural Science Foundation of China under Grant No.10375009SRF for ROCS,SEM,and K.C.Wong Magna Fund in Ningbo University of China
文摘In the paper, we investigate a globally coupled linear system with finite subunits subject to temporal periodic force and with multiplicative dichotomous noise. It is shown that, the global coupling among the subunits can hugely enhance the phenomenon of SR for the amplitude of the average mean field as the functions of the transition rate of the noise and that as the function of the frequency of the signal respectively.
基金The project supported by SRF for ROCS,SEM,and by K.C.Wong Magna Fund in Ningbo University
文摘The transport of particles induced by multiplicative dichotomous noise for a system is investigated. The stationary probability current is derived. It is shown that, for the system studied by us, the spatial asymmetry is the ingredient for the nonzero stationary current.
基金supported by National Natural Science Foundation of China,SRF for ROCS,SEM,and K.C.Wong Magna Fund in Ningbo University
文摘A three-state Markovian noise is investigated.Its probability density and statistical properties are obtained. Escape of particles for a system with potential barrier only driven by this noise is investigated.It is shown that,in some circumstances,this noise can make the particles escape over the potential barrier;but in other circumstances,it cannot. Resonant activation phenomenon appears for the system considered by us.
基金supported by the Natural Science Foundation of Ningbo in Chinaby K.C. Wong Magna Fund in Ningbo University of China
文摘In the paper, we study a linear system driven by O-U noise and give a method which is different from the one stated in Europhys. Lett. 40 （1997） 117. We find the same phenomenon of multiplicative stochastic resonance for the response of the system to the signal as the one found in Europhys. Left. 40 （1997） 117. The merit of our method is that it prevents the complex formulas when making sum from n = 0 to n →∞ as in Europhys. Lett. 40 （1997） 117, which leads to the approximate results of the figures.
基金supported by SRF for ROCS,SEM,and K.C.Wong Magna Fund in Ningbo University
文摘In this paper,an electric system with two dichotomous resistors is investigated.It is shown that thissystem can display two stochastic resonances,which are the amplitude of the periodic response as the functions of thetwo dichotomous resistors strengthes respectively.In the limits of Gaussian white noise and shot white noise(i.e.,thetwo noises are both Gaussian white noise or shot white noise),no phenomena of resonance appear.By further study,we find that when the system is with three or more multiplicative telegraphic noises,there are three or more stochasticresonances.
