物理学报2011，Vol.60Issue(12)：49-57,9.
非高斯噪声驱动下非对称双稳系统的平均首次穿越时间与随机共振研究
Mean first-passage time and stochastic resonance in an asymmetric bistable system driven by non-Gaussian noise
摘要
Abstract
In this paper,mean first-passage time （MFPT） and stochastic resonance （SR） are investigated in an asymmetric bistable system driven by multiplicative non-Gaussian noise and additive Gaussian white noise.Using the path integral approach and two-state theory,the expression of MFPT and the signal-to-noise ratio （SNR） are derived.The results show that the influences of the asymmetric coefficient on the MFPTs in two opposite directions are entirely different.SNR is a non-monotonic function of the additive noise intensity and asymmetric coefficient,therefore,an SR is found in this system.Whereas SNR is a monotonic function of the multiplicative noise intensity and no SR appears.This demonstrates that the effect of the multiplicative noise intensity on SNR is different from that of the additive noise intensity in the system.关键词
非高斯噪声/非对称双稳系统/平均首次穿越时间/随机共振Key words
non-Gaussian noise/asymmetric bistable system/mean first-passage time/stochastic resonance分类
数理科学引用本文复制引用
张静静,靳艳飞..非高斯噪声驱动下非对称双稳系统的平均首次穿越时间与随机共振研究[J].物理学报,2011,60(12):49-57,9.基金项目
国家自然科学基金 （）
北京理工大学优秀青年教师计划 （）
北京理工大学科技创新计划重大项目资助的课题 （）
