Trichotomous noise induced stochastic resonance in a fractional oscillator with random damping and random frequency
Trichotomous noise induced stochastic resonance in a fractional oscillator with random damping and random frequency
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DOI：
10.1088/1742-5468/2016/02/023201
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发表时间：
2016-02-01
影响因子：
2.4
通讯作者：
Wang, Hui-Qi
中科院分区：
文献类型：
--
作者：
Lin, Li-Feng;Chen, Cong;Wang, Hui-Qi
在这项研究中，我们研究了一个分数阶线性振子的随机共振（SR）的乘法非线性噪声和加性分数阶高斯噪声和驱动的周期信号。利用Shapiro-Loginov公式和拉普拉斯变换技术，得到了系统稳态响应一阶矩的精确表达式。同时，讨论了输出幅度随周期信号频率和噪声参数的变化规律。我们确定了该系统中存在真正的SR、SR和逆共振。具体而言，输出幅度随周期信号频率的演化呈现单峰振荡、双峰振荡和三峰振荡。此外，随机噪声和记忆的相互作用可以诱导和多样化的随机多共振（SMR）现象，并赋予该线性系统更丰富的动力学行为。证明了输出幅度对噪声强度的超灵敏响应，这在由二分噪声驱动的系统中是没有观察到的。
In this study, we investigate the stochastic resonance (SR) of a fractional linear oscillator subjected to multiplicative trichotomous noise and additive fractional Gaussian noise and driven by a periodic signal. Using the Shapiro-Loginov formula and the Laplace transformation technique, we acquire the exact expression of the first-order moment of the system's steady response. Meanwhile, we discuss the evolutions of the output amplitude with the frequency of the periodic signal and noise parameters. We determine that bona fide SR, SR and reverse-resonance exist in this system. Specifically, the evolution of the output amplitude with the frequency of the periodic signal presents one-peak oscillation, double-peak oscillation and triple-peak oscillation. Moreover, the interplay of the trichotomous noise and memory can induce and diversify the stochastic multi-resonance (SMR) phenomena and give this linear system richer dynamic behavior. A hypersensitive response of the output amplitude to the noise intensity is demonstrated, which is not observed in systems driven by dichotomous noise.