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

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (5) : 244-249.

WU Shaoxiang, LUO Yang, CHEN Jian

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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.

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single well system / multiplicative noise / additive noise / steady-state probability density function

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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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