物理学报Issue(21):34-38,5.DOI:10.7498/aps.63.210501
色关联的乘性和加性色噪声激励下分段非线性模型的随机共振
Sto chastic resonance in a piecewise nonlinear system driven by colored correlated additive and multiplicative colored noises
摘要
Abstract
In this paper, we study the stochastic resonance in a piecewise nonlinear system driven by a periodic signal and colored noises, which is described by multiplicative and additive colored noises with colored cross-correlation. Using the two-state theory and the unified colored approximation, we can derive the analytical expressions of the steady-state probability density and the signal-to-noise ratio (SNR). Effects of colored noises and the periodic signal on SNR are presented. It is found that the conventional stochastic resonance and bona-fide stochastic resonance may exist in this system. Moreover, the value of the SNR peak decreases with increasing correlation time and correlation between the additive and multiplicative noises.关键词
色噪声/分段非线性系统/随机共振Key words
colored noise/a piecewise nonlinear system/stochastic resonance引用本文复制引用
靳艳飞,李贝..色关联的乘性和加性色噪声激励下分段非线性模型的随机共振[J].物理学报,2014,(21):34-38,5.基金项目
国家自然科学基金(批准号:11272051)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.11272051) (批准号:11272051)