Stochastic resonance and free oscillation in a sinusoidal potentials driven by a square-wave periodic force

2021 ◽  
Vol 94 (2) ◽  
Author(s):  
Ivan Skhem Sawkmie ◽  
Mangal C. Mahato
Keyword(s):  
Stochastic Resonance ◽  
Free Oscillation ◽  
Periodic Force ◽  
Square Wave

scholarly journals Characterizing stochastic resonance in a triple cavity

2021 ◽  
Vol 379 (2198) ◽  
Author(s):  
Ruoxing Mei ◽  
Yong Xu ◽  
Yongge Li ◽  
Jürgen Kurths
Keyword(s):  
Stochastic Resonance ◽  
Vertical Force ◽  
Fractional Gaussian Noise ◽  
Natural Boundary ◽  
Theme Issue ◽  
Periodic Force ◽  
The Impact ◽  
The Given ◽  
Maximum Minimum ◽  
Reflection Boundary

Many biological systems possess confined structures, which produce novel influences on the dynamics. Here, stochastic resonance (SR) in a triple cavity that consists of three units and is subjected to noise, periodic force and vertical constance force is studied, by calculating the spectral amplification η numerically. Meanwhile, SR in the given triple cavity and differences from other structures are explored. First, it is found that the cavity parameters can eliminate or regulate the maximum of η and the noise intensity that induces this maximum. Second, compared to a double cavity with similar maximum/minimum widths and distances between two maximum widths as the triple cavity, η in the triple one shows a larger maximum. Next, the conversion of the natural boundary in the pure potential to the reflection boundary in the triple cavity will create the necessity of a vertical force to induce SR and lead to a decrease in the maximum of η . In addition, η monotonically decreases with the increase of the vertical force and frequency of the periodic force, while it presents several trends when increasing the periodic force’s amplitude for different noise intensities. Finally, our studies are extended to the impact of fractional Gaussian noise excitations. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 2)’.

Stochastic resonance without external periodic force

1993 ◽  
Vol 71 (6) ◽  
pp. 807-810 ◽  
Author(s):  
Hu Gang ◽  
T. Ditzinger ◽  
C. Z. Ning ◽  
H. Haken
Keyword(s):  
Stochastic Resonance ◽  
Periodic Force

scholarly journals Feasibility of Energy Harvesting Using Stochastic Resonance Caused by Axial Periodic Force

2015 ◽  
Vol 60 (5) ◽  
pp. 314-320 ◽  
Author(s):  
Kimihiko Nakano ◽  
Matthew P. Cartmell ◽  
Honggang Hu ◽  
Rencheng Zheng
Keyword(s):  
Energy Harvesting ◽  
Stochastic Resonance ◽  
Periodic Force

Stochastic resonance in a stochastic bistable system with additive noises and square–wave signal

2010 ◽  
Vol 19 (8) ◽  
pp. 080502 ◽  
Author(s):  
Guo Feng ◽  
Luo Xiang-Dong ◽  
Li Shao-Fu ◽  
Zhou Yu-Rong
Keyword(s):  
Stochastic Resonance ◽  
Bistable System ◽  
Square Wave ◽  
Wave Signal

Stochastic Resonance Enhanced by Colored Multiplicative and Additive Noises in a Time-Delayed Bistable System

2012 ◽  
Vol 538-541 ◽  
pp. 2598-2601
Author(s):  
Feng Bao Li ◽  
Xiao Yan Lei ◽  
Fu Cheng Zhu
Keyword(s):  
Stochastic Resonance ◽  
Colored Noise ◽  
Signal To Noise Ratio ◽  
Bistable System ◽  
Constant Force ◽  
Signal To Noise ◽  
Dichotomous Noise ◽  
Square Wave ◽  
Wave Signal ◽  
Asymmetric Dichotomous Noise

The phenomenon of stochastic resonance (SR) in a time-delayed bistable system with square-wave signal, a constant force, with asymmetric dichotomous noise and multiplicative and additive colored noise is investigated. It is found that, the SR behavior can be observed on the signal-to-noise ratio (SNR) curves as a function of the intensity and asymmetry of the dichotomous noise, as a function of the amplitude of the square-wave, the constant force, as well as of the strength of the colored noises.

scholarly journals Entropic stochastic resonance induced by a transverse driving force

2021 ◽  
Vol 379 (2198) ◽  
Author(s):  
L. C. Du ◽  
W. H. Yue ◽  
J. H. Jiang ◽  
L. L. Yang ◽  
M. M. Ge
Keyword(s):  
Stochastic Resonance ◽  
Driving Force ◽  
Spectral Power ◽  
Small Scale ◽  
Theme Issue ◽  
Periodic Force ◽  
Power Amplification ◽  
The Mean ◽  
Time Periodic ◽  
Noise Region

The phenomenon of entropic stochastic resonance (ESR) is investigated with the presence of a time-periodic force in the transverse direction. Simulation results manifest that the ESR can survive even if there is no static bias force in any direction, just if a transverse driving field is applied. In the weak noise region, the transverse driving force leads to a giant-suppression of the escape rate from one well to another, i.e. the entropic trapping. The increase in noise intensity will eliminate this suppression and induce the ESR phenomenon. An alternative quantity, called the mean free flying time, is also proposed to characterize the ESR as well as the conventional spectral power amplification. The ESR can be modulated conveniently by the transverse periodic force, which implies an alternative method for controlling the dynamics of small-scale systems. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 2)’.

scholarly journals On square-wave-driven stochastic resonance for energy harvesting in a bistable system

AIP Advances ◽  
2014 ◽  
Vol 4 (11) ◽  
pp. 117140 ◽  
Author(s):  
Dongxu Su ◽  
Rencheng Zheng ◽  
Kimihiko Nakano ◽  
Matthew P Cartmell
Keyword(s):  
Energy Harvesting ◽  
Stochastic Resonance ◽  
Bistable System ◽  
Square Wave
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