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关联噪声和周期信号驱动的非对称双稳系统的稳态分析

, PP. 86-93

Keywords: 非线性光学,非对称双稳系统,福克-普朗克方程,噪声,稳态概率密度

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Abstract:

运用Liouvilleequation和诺维科夫原理,解出了关联噪声和周期信号共同驱动的非对称双稳系统的近似福克-普朗克方程,并求解了其稳态概率密度函数.在此基础上,分析了乘性噪声强度、加性噪声强度、噪声间关联系数,周期信号振幅、频率以及系统非对称参数等对稳态概率密度分布曲线的影响.结果表明(1)噪声强度及其关联、周期信号振幅、系统非对称参数的改变均能引起稳态概率密度分布曲线单峰结构和双峰结构之间的转换,即能够诱导非平衡相变产生;(2)周期信号频率改变时,没有非平衡相变发生;(3)当系统非对称参数为零时,稳态概率密度分布曲线具有关于的对称结构;当系统非对称参数不等于零时,其对称结构被破坏.

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