摘要
Effects of time delay on stability of an unstable state in a time-delayed bistable system are investigated.The analytic expression of the transition rate W(x_(u),τ)from unstable state xu to stable state x+is derived.The numerical calculation results of W(x_(u),τ)indicate that W(x_(u),τ)decreases with the increasing multiplicative noise intensity,the additive noise intensi by and the strength of correlations between the multiplicative and the additive noise increase,but W(x_(u),τ)increases with increasing delay time.Namely,the multiplicative noise,the additive noise and the correlations between the multiplicative and the additive noises enhance the stability of the unstable state in the time-delayed bistable system but the stability is weakened by time delay.
作者
李春
梅冬成
LI Chun;MEI Dong-Cheng(Department of Computer Science,Simao Teachers’College,Puer 665000;Department of Physics,Yunnan University,Kunming 650091)
基金
Supported by the National Natural Science Foundation of China under Grant No 10865006
the Science Foundation of Yunnan University under Grant No 2009A01z.