Mittag-Leffler noise induced resonance behavior in a fractional generalized Langevin equation with random trichotomous inherent frequency
Mittag-Leffler noise induced resonance behavior in a fractional generalized Langevin equation with random trichotomous inherent frequency
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具有随机三分固有频率的分数阶广义 Langevin 方程中的 Mittag-Leffler 噪声引起的谐振行为
DOI：
10.1088/1742-5468/aaac48
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发表时间：
2018-03
期刊：
影响因子：
--
通讯作者：
Luo Maokang
中科院分区：
文献类型：
--
作者：
He Guitian;Tian Yan;Luo Maokang
广泛研究了具有随机三分固有频率和广义Mittag-Leffler噪声的广义Langevin方程和分数阶广义Langevin方程的共振行为。研究了广义Mittag-Leffler噪声的噪声谱表达式。利用Shapiro-Loginov公式和拉普拉斯变换技巧，得到了广义Langevin方程和分数阶广义Langevin方程谱放大的精确表达式.仿真结果表明，频谱放大率是噪声参数和系统参数特性的非单调函数。特别地，广义Mittag-Leffler噪声的影响能够诱发广义随机共振现象。驱动频率的影响能够诱发真实的随机共振和随机多共振现象。结果表明，分数阶广义Langevin方程的共振行为比（非分数阶）广义Langevin方程的共振行为有更多的实质性结果。
The resonance behavior in a generalized Langevin equation and fractional generalized Langevin equation with random trichotomous inherent frequency and a generalized Mittag-Leffler noise are extensively investigated. An expression for the noise spectral of the generalized Mittag-Leffler noise is studied. Using the Shapiro–Loginov formula and Laplace transformation technique, exact expressions for the spectral amplification of generalized Langevin equation and fractional generalized Langevin equation are obtained. The simulation results turn out to show that the spectral amplification is a non-monotonic function of the characteristics of noise parameters and system parameters. In particular, the influence of generalized Mittag-Leffler noise is able to induce the generalized stochastic resonance phenomenon. The influence of the driving frequency is able to induce bona fide stochastic resonance and stochastic multi-resonance phenomena. It is found that the resonance behavior of the fractional generalized Langevin equation has more material results than that of the (non-fractional) generalized Langevin equation.
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影响因子：
1.3
作者：
K. S. Fa
通讯作者：
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影响因子：
1.9
作者：
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通讯作者：
Wei Xu;Mengli Hao;X. Gu;Guidong Yang
DOI：
10.1103/physreve.81.051118
发表时间：
2009-09
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
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作者：
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影响因子：
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作者：
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通讯作者：
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DOI：
10.1103/physreve.78.031112
发表时间：
2008-02
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
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作者：
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通讯作者：
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