Stochastic Resonance in a Fractional Oscillator with Random Mass and Random Frequency

2015 ◽  
Vol 160 (2) ◽  
pp. 497-511 ◽  
Author(s):  
Li-Feng Lin ◽  
Cong Chen ◽  
Su-Chuan Zhong ◽  
Hui-Qi Wang
Keyword(s):  
Stochastic Resonance ◽  
Random Mass ◽  
Fractional Oscillator ◽  
Random Frequency

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.

Trichotomous Noise Induced Resonance Behavior for a Fractional Oscillator with Random Mass

2015 ◽  
Vol 159 (1) ◽  
pp. 195-209 ◽  
Author(s):  
Suchuan Zhong ◽  
Kun Wei ◽  
Shilong Gao ◽  
Hong Ma
Keyword(s):  
Random Mass ◽  
Resonance Behavior ◽  
Fractional Oscillator ◽  
Trichotomous Noise
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