受到添加剂白人噪音的一个推迟时间的亚稳的系统的短暂性质借助于随机的模拟方法被调查。噪音提高了稳定性现象( NES )能在 NES 表演在这个系统和延期时间的效果被观察批评行为，即，有对 1 近似的延期时间 T-c 的批评价值，在哪个上面...受到添加剂白人噪音的一个推迟时间的亚稳的系统的短暂性质借助于随机的模拟方法被调查。噪音提高了稳定性现象( NES )能在 NES 表演在这个系统和延期时间的效果被观察批评行为，即，有对 1 近似的延期时间 T-c 的批评价值，在哪个上面当延期时间增加，时间延期提高 NES 效果，延期时间增加并且在时间延期在哪个下面削弱 NES 效果下面。展开更多
This paper investigates the stochastic resonance （SR） phenomenon induced by the multiplicative periodic signal in a cancer growth system with the cross-correlated noises and time delay. To describe the periodic chan...This paper investigates the stochastic resonance （SR） phenomenon induced by the multiplicative periodic signal in a cancer growth system with the cross-correlated noises and time delay. To describe the periodic change of the birth rate due to the periodic treatment, a multiplicative periodic signal is added to the system. Under the condition of small delay time, the analytical expression of the signal-to-noise ratio RSNR is derived in the adiabatic limit. By numerical calculation, the effects of the cross-correlation strength λ and the delay time τ on RSNR are respectively discussed. The existence of a peak in the curves of RSNR as a function of the noise intensities indicates the occurrence of the SR phenomenon. It is found that λ and τ play opposite role on the SR phenomenon, i.e., the SR is suppressed by increasing λ whereas it is enhanced with the increase of τ, which is different from the case where the periodic signal is additive.展开更多
文摘受到添加剂白人噪音的一个推迟时间的亚稳的系统的短暂性质借助于随机的模拟方法被调查。噪音提高了稳定性现象( NES )能在 NES 表演在这个系统和延期时间的效果被观察批评行为，即，有对 1 近似的延期时间 T-c 的批评价值，在哪个上面当延期时间增加，时间延期提高 NES 效果，延期时间增加并且在时间延期在哪个下面削弱 NES 效果下面。
基金supported by the Natural Science Foundation of Yunnan Province of China (Grant No. 2008CD214)
文摘This paper investigates the stochastic resonance （SR） phenomenon induced by the multiplicative periodic signal in a cancer growth system with the cross-correlated noises and time delay. To describe the periodic change of the birth rate due to the periodic treatment, a multiplicative periodic signal is added to the system. Under the condition of small delay time, the analytical expression of the signal-to-noise ratio RSNR is derived in the adiabatic limit. By numerical calculation, the effects of the cross-correlation strength λ and the delay time τ on RSNR are respectively discussed. The existence of a peak in the curves of RSNR as a function of the noise intensities indicates the occurrence of the SR phenomenon. It is found that λ and τ play opposite role on the SR phenomenon, i.e., the SR is suppressed by increasing λ whereas it is enhanced with the increase of τ, which is different from the case where the periodic signal is additive.
