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研究了由乘性白噪声和加性白噪声驱动的非对称双稳系统中,势阱的非对称性对两个不同方向的平均首次穿越时间的影响.发现在非对称双稳系统中,两个不同方向的平均首次穿越时间是与初始状态有关.此外,对一维非对称达芬模型的平均首次穿越时间进行了研究.数值结果表明:(1)非对称双稳系统的平均首次穿越时间对初始状态有“记忆性”;(2)噪声强度对两个不同方向的平均首次穿越时间T+(xs1→xs2)和T-(xs2→xs1)的影响是不同的:lnT--D曲线上存在峰值,出现了“共振”现象,而lnT+-D曲线是单调的;(3)势阱的非对称性r对T+(xs1→xs2)和T-(xs2→xs1)的影响是不同的:lnT--r曲线上存在极小值,出现了“抑制”现象,而lnT+-r曲线是单调的.
The asymmetric bistable system driven by multiplicative white noise and additive white noise has the effect of asymmetry of the potential well on the mean first-passover time in two different directions. It is found that in the asymmetric bistable system, two The average first-time transit time in different directions is related to the initial state. In addition, the average first-pass time of a one-dimensional asymmetric Davennet model is studied.The numerical results show that: (1) The average first transit time of an asymmetric bistable system (2) The influence of noise intensity on the mean first transit times T + (xs1 → xs2) and T- (xs2 → xs1) in two different directions is different: on the lnT-D curve (3) The asymmetry of the potential well has different effects on T + (xs1 → xs2) and T- (xs2 → xs1): (1) lnT - r curve there is a minimum, there has been “inhibition” phenomenon, and lnT + -r curve is monotonous.