色噪声驱动下延迟双稳系统中的相干共振

摘要

We investigated bistable system with delay driven by multiplicative colored and additive white noise.The expression of the power spectrum is obtained by means of Kampen＇s lemma,the Novikov theorem,the adiabatic approximation theorem and the theory of two-%研究了乘性色噪声和加性白噪声驱动下的延迟双稳系统.应用Kampen理论、Novik-ov理论、绝热近似理论和两态理论得到功率谱表达式.发现了随着加性噪声强度的增加出现了相干共振现象,且共振发生在延迟时间与加性噪声强度之间.乘性噪声强度会降低系统的输出;色噪声的自相关时间能够加强系统的输出;且在较大的自相关时间下,较小的加性噪声强度就能使系统产生共振现象.