时滞单稳系统的平均首次穿越时间研究

Mean First-passage Time of Time-delayed Monostable System

研究了多时滞单稳系统的平均首次穿越时间问题.运用小时滞近似与最速下降法,得到了系统平均首次穿越时间表达式,分析了参数对平均首次穿越时间的影响,并得到了如下结论:1)乘性与加性噪声强度对平均首次穿越时间的影响是相似的.2)两个时滞量对平均首次穿越时间的影响则完全不同.3)随着系统非对称性的增强,平均首次穿越时间是单调减少的.

The mean first-passage time of a multiple time-delayed mono-stable system is investigated.Based on the small delay approximate and the steepest descent method,the expression of mean first-passage time is obtained,and the effects are investigated of system parameters on the mean first-passage time.The following conclusions are obtained：1） The effects of multiplicative and additive noise intensities on the mean first-passage time are similar;2） The effects of two delays on the mean first-passage time are quite different;3） With the asymmetry of system increasing,the mean first-passage time decreases monotonically.