CAJ | 학술논문

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.
연구료다시체단은계통적평균수차천월시간문제.운용소시체근사여최속하강법,득도료계통평균수차천월시간표체식,분석료삼수대평균수차천월시간적영향,병득도료여하결론：1）승성여가성조성강도대평균수차천월시간적영향시상사적.2）량개시체량대평균수차천월시간적영향칙완전불동.3）수착계통비대칭성적증강,평균수차천월시간시단조감소적.
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.