关联的乘性和加性驱动的三稳系统稳态分析

Steady-state analysis of a triple-well potential system with correlations between multiplicative and additive noise

运用刘维方程和诺维科夫定理,研究乘性和加性高斯白噪声共同激励下一维三稳系统的稳态概率密度函数.结果表明,关联强度λ和乘性噪声强度P均能诱导相变的产生,而加性噪声强度Q不能诱导相变的产生.通过数值模拟稳态概率密度函数验证了所得结论的准确性.

By virtue of the Liouville equation and Novikov theorem,the expressions of the stationary probability distribution function of one-dimensional triple-well potential system with correlations between multiplicative and additive noises are investigated.The results show that the intensity of cross-correlation λ and the intensity of multiplicative noise P can induce transition;the intensity of additive noise Q can not induce transition.The accuracy of the conclusion is verified by using numerical simulation stationary probability distribution function.