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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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.

Key words： single well system multiplicative noise additive noise steady-state probability density function

Received: 08 August 2018 Published: 28 February 2020

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	Articles by authors
	WU Shaoxiang
	LUO Yang
	CHEN Jian

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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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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2020/V39/I5/244

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