色关联的乘性与加性噪声驱动下的幂函数型单势阱系统的稳态特征

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (5) : 244-249.

论文

吴绍祥,罗阳,陈建

作者信息 +

Steady-state features of a power function type single-well system driven by color-associated multiplicative and additive noise

WU Shaoxiang, LUO Yang, CHEN Jian

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文章历史 +

摘要

研究了色关联的乘性与加性噪声作用下幂函数型单势阱系统的稳态问题。首先利用一致有色噪声近似方法，推导得到稳态概率密度函数(仅以b=1为例)，分析色关联的乘性与加性噪声对于稳态概率密度的影响，并通过势阱结构参数分析了势阱的结构对于稳态概率密度的影响。结果表明：参数b=1条件下的互相关强度、自相关时间以及势阱结构参数a,b都会诱导非平衡相变。

Abstract

Steady-state problems of a power function type single-well system under action of color-associated multiplicative and additive noise were studied.Firstly, the uniform colored noise approximate method was used to deduce the steady-state probability density function.Then, effects of color-associated multiplicative and additive noise on the steady-state probability density were analyzed.Finally, structural parameters of a potential well were used to analyze effects of the well structure on the steady-state probability density.The results showed that under the condition of the parameter b=1, cross-correlation intensity, self-correlation time and structure parameters a, b of the potential well can induce non-equilibrium phase transitions.

导出引用

吴绍祥,罗阳,陈建. 色关联的乘性与加性噪声驱动下的幂函数型单势阱系统的稳态特征[J]. 振动与冲击, 2020, 39(5): 244-249

WU Shaoxiang, LUO Yang, CHEN Jian. Steady-state features of a power function type single-well system driven by color-associated multiplicative and additive noise[J]. Journal of Vibration and Shock, 2020, 39(5): 244-249

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