非高斯噪声驱动下非对称双稳系统的平均首次穿越时间

摘要

研究了由乘性非高斯噪声和加性白噪声驱动的非对称双稳系统,发现两种噪声对于两个不同方向上的MFPT影响是相同的.乘性噪声强度D,加性噪声强度Q的增加都会提高粒子的逃逸率;非高斯噪声的自相关时间τ的增加会减小粒子的逃逸率.非高斯参数p随着噪声强度D的增加使得逃逸率先减小后增加.%We made a study of an asymmetric bi-stable system driven by multiplicative non-Gaussian noise and additive white noise.The results show that the two kinds of noise for two different direction MFPT effects are synchronized.The increase of the multiplicative noise intensity D and additive noise intensity Q enhance the escape rate,while the increase of autocorrelation time τ reduces the escape rate.With the increased intensity of D,non-Gaussian parameter p makes the escape rate decreased at the early stage but increased later.