Stochastic Resonance in a Linear Fractional Langevin Equation

被引：0
作者：
Suchuan Zhong
Kun Wei
Shilong Gao
Hong Ma
机构：
[1] Sichuan University,College of Mathematics
[2] Sichuan University Jincheng College,School of Mathematical Sciences
[3] University of Electronic Science and Technology of China,College of Mathematics and Information Science
[4] Leshan Normal University,undefined
来源：
Journal of Statistical Physics | 2013年 / 150卷
关键词：
Stochastic resonance; Fractional Langevin equation; Linear system; Signal-to-noise ratio;
D O I：
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中图分类号：
学科分类号：
摘要：
The fractional Langevin equation is derived from the generalized Langevin equation driven by the additive fractional Gaussian noise. We investigate the stochastic resonance (SR) phenomenon in the underdamped linear fractional Langevin equation under the external periodic force and multiplicative symmetric dichotomous noise. Applying the Shapiro-Loginov formula and the Laplace transform technique, we obtain the exact expressions of the amplitude and signal-to-noise ratio (SNR) of the system. By studying the impacts of the driving frequency and the noise parameters, we find the non-monotonic behaviors of the output amplitude and SNR. The results indicate that the bona fide SR, conventional SR and the wide sense of SR phenomena occur in the proposed linear fractional system.
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页码：867 / 880
页数：13
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