Stochastic resonance in the overdamped fractional oscillator subject to multiplicative dichotomous noise

2013 ◽  
Vol 88 (6) ◽  
pp. 065009 ◽  
Author(s):  
Gui-Tian He ◽  
Ren-Ze Luo ◽  
Mao-Kang Luo
Keyword(s):  
Stochastic Resonance ◽  
Dichotomous Noise ◽  
Fractional Oscillator

Stochastic resonance for a fractional oscillator with random trichotomous mass and random trichotomous frequency

2017 ◽  
Vol 31 (30) ◽  
pp. 1750231 ◽  
Author(s):  
Lifeng Lin ◽  
Huiqi Wang ◽  
Suchuan Zhong
Keyword(s):  
Stochastic Resonance ◽  
Exact Expression ◽  
Order Moment ◽  
Periodic Signal ◽  
Transformation Technique ◽  
First Order ◽  
Fractional Oscillator ◽  
Trichotomous Noise ◽  
Output Amplitude ◽  
Fractional System

The stochastic resonance (SR) phenomena of a linear fractional oscillator with random trichotomous mass and random trichotomous frequency are investigate in this paper. By using the Shapiro–Loginov formula and the Laplace transformation technique, the exact expression of the first-order moment of the system’s steady response is derived. The numerical results demonstrate that the evolution of the output amplitude is nonmonotonic with frequency of the periodic signal, noise parameters and fractional order. The generalized SR (GSR) phenomena, including single GSR (SGSR) and doubly GSR (DGSR), and trebly GSR (TGSR), are detected in this fractional system. Then, the GSR regions in the [Formula: see text] plane are determined through numerical calculations. In addition, the interaction effect of the multiplicative trichotomous noise and memory can diversify the stochastic multiresonance (SMR) phenomena, and induce reverse-resonance phenomena.

scholarly journals Stochastic resonance for dichotomous noise in a second derivative linear system

2008 ◽  
Vol 57 (12) ◽  
pp. 7482
Author(s):  
Guo Li-Min ◽  
Xu Wei ◽  
Ruan Chun-Lei ◽  
Zhao Yan
Keyword(s):  
Linear System ◽  
Stochastic Resonance ◽  
Second Derivative ◽  
Dichotomous Noise

Entropic stochastic resonance in a confined structure driven by dichotomous noise and white noises

2012 ◽  
Vol 21 (8) ◽  
pp. 080502 ◽  
Author(s):  
Feng Guo ◽  
Xiao-Feng Cheng ◽  
Shao-Fu Li ◽  
Wen Cao ◽  
Heng Li
Keyword(s):  
Stochastic Resonance ◽  
Dichotomous Noise ◽  
Confined Structure ◽  
White Noises

Stochastic resonance in linear system due to dichotomous noise modulated by bias signal

2005 ◽  
Vol 38 (17) ◽  
pp. 3733-3742 ◽  
Author(s):  
Yanfei Jin ◽  
Wei Xu ◽  
Meng Xu ◽  
Tong Fang
Keyword(s):  
Linear System ◽  
Stochastic Resonance ◽  
Dichotomous Noise
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