非高斯噪声激励下分段非线性系统的平均首次穿越时间

发布时间：2018-04-08 19:00

本文选题：非高斯噪声　切入点：分段非线性系统　出处：《工程数学学报》2016年04期

【摘要】：噪声诱导的逃逸问题出现在众多研究领域,平均首次穿越时间作为用来表征粒子逃逸现象的重要特征量,现已被广泛应用于电子器件的开关时间及双稳器件的寿命等问题的研究之中.本文研究了由乘性非高斯噪声和加性高斯白噪声共同驱动下分段非线性系统的平均首次穿越时间问题.运用路径积分法、统一色噪声近似和最速下降法,得到了系统平均首次穿越时间的表达式.通过数值计算发现,在非高斯噪声偏离参数、噪声关联时间和互关联强度的作用下,非高斯噪声强度的增加会导致平均首次穿越时间曲线出现单峰结构,而加性噪声强度的增加会导致平均首次穿越时间的单调减小,这表明在该模型中非高斯噪声和高斯噪声对平均首次穿越时间的影响是不同的.此外还进一步讨论了非高斯噪声偏离参数、噪声关联时间和噪声互关联强度对平均首次穿越时间的影响.
[Abstract]:The problem of noise-induced escape appears in many research fields, and the mean first-pass time is used as an important characteristic quantity to characterize the phenomenon of particle escape.It has been widely used in the study of switching time and life of bistable devices.In this paper, we study the average first pass time of piecewise nonlinear systems driven by multiplicative non-#china_person0# noise and additive Gao Si white noise.By using the path integral method, the uniform chromatic noise approximation and the steepest descent method, the expression of the average first pass time of the system is obtained.By numerical calculation, it is found that under the influence of non-#china_person0# noise deviation parameter, noise correlation time and mutual correlation intensity, the increase of non-#china_person1# noise intensity will result in the single peak structure of the average first-time traversing time curve.The increase of additive noise intensity leads to the monotone decrease of average first pass time, which indicates that the influence of non-#china_person0# noise and Gao Si noise on the average first pass time is different in this model.Furthermore, the effects of non-#china_person0# noise deviation parameters, noise correlation time and noise cross-correlation intensity on the average first-pass time are discussed.
【作者单位】：天津工业大学理学院;
【基金】：国家自然科学基金(11102132) 天津市应用基础与前沿技术研究计划项目(15JCQNJC04000)~~
【分类号】：O321

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