Stochastic resonance research on under-damped nonlinear frequency fluctuation for coupled fractional-order harmonic oscillators

Stochastic resonance research on under-damped nonlinear frequency fluctuation for coupled fractional-order harmonic oscillators

Stochastic resonance on under-damped nonlinear frequency fluctuation for coupled fractional-order linear particles is investigated. First, the average motions of the two coupled Brownian particles obtained by the random average method and the Shapiro-Loginov formula are completely synchronized. Then...

Full description

Bibliographic Details
Main Authors: Gang Zhang, Hui Wang, Tianqi Zhang
Format: Article
Language:English
Published: Elsevier 2020-06-01
Series:Results in Physics
Subjects:
Stochastic resonance
Coupled linear harmonic oscillators
Nonlinear frequency fluctuation
Fractional-order
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379720301728
id doaj-c7c3297b2fc94c0489a4a983bdbed215
record_format Article
spelling doaj-c7c3297b2fc94c0489a4a983bdbed2152020-11-25T03:44:42ZengElsevierResults in Physics2211-37972020-06-0117103158Stochastic resonance research on under-damped nonlinear frequency fluctuation for coupled fractional-order harmonic oscillatorsGang Zhang0Hui Wang1Tianqi Zhang2School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaCorresponding author.; School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaSchool of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaStochastic resonance on under-damped nonlinear frequency fluctuation for coupled fractional-order linear particles is investigated. First, the average motions of the two coupled Brownian particles obtained by the random average method and the Shapiro-Loginov formula are completely synchronized. Then, on the basis of synchronization, the mathematical formula of the system output amplitude gain of one of the particles is calculated. Numerical simulation results show that there exist various stochastic resonance phenomena with system and noise parameters changing, such as double-peak SR (DSR), bona-fide resonance (BFR), and parameter-induced SR (PSR). The nonlinear noise coefficient plays a significant role in the system. Finally, the accuracy of theoretical analysis is verified by Simulink numerical simulation.http://www.sciencedirect.com/science/article/pii/S2211379720301728Stochastic resonanceCoupled linear harmonic oscillatorsNonlinear frequency fluctuationFractional-order
collection DOAJ
language English
format Article
sources DOAJ
author Gang Zhang
Hui Wang
Tianqi Zhang
spellingShingle Gang Zhang
Hui Wang
Tianqi Zhang
Stochastic resonance research on under-damped nonlinear frequency fluctuation for coupled fractional-order harmonic oscillators
Results in Physics
Stochastic resonance
Coupled linear harmonic oscillators
Nonlinear frequency fluctuation
Fractional-order
author_facet Gang Zhang
Hui Wang
Tianqi Zhang
author_sort Gang Zhang
title Stochastic resonance research on under-damped nonlinear frequency fluctuation for coupled fractional-order harmonic oscillators
title_short Stochastic resonance research on under-damped nonlinear frequency fluctuation for coupled fractional-order harmonic oscillators
title_full Stochastic resonance research on under-damped nonlinear frequency fluctuation for coupled fractional-order harmonic oscillators
title_fullStr Stochastic resonance research on under-damped nonlinear frequency fluctuation for coupled fractional-order harmonic oscillators
title_full_unstemmed Stochastic resonance research on under-damped nonlinear frequency fluctuation for coupled fractional-order harmonic oscillators
title_sort stochastic resonance research on under-damped nonlinear frequency fluctuation for coupled fractional-order harmonic oscillators
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2020-06-01
description Stochastic resonance on under-damped nonlinear frequency fluctuation for coupled fractional-order linear particles is investigated. First, the average motions of the two coupled Brownian particles obtained by the random average method and the Shapiro-Loginov formula are completely synchronized. Then, on the basis of synchronization, the mathematical formula of the system output amplitude gain of one of the particles is calculated. Numerical simulation results show that there exist various stochastic resonance phenomena with system and noise parameters changing, such as double-peak SR (DSR), bona-fide resonance (BFR), and parameter-induced SR (PSR). The nonlinear noise coefficient plays a significant role in the system. Finally, the accuracy of theoretical analysis is verified by Simulink numerical simulation.
topic Stochastic resonance
Coupled linear harmonic oscillators
Nonlinear frequency fluctuation
Fractional-order
url http://www.sciencedirect.com/science/article/pii/S2211379720301728
work_keys_str_mv AT gangzhang stochasticresonanceresearchonunderdampednonlinearfrequencyfluctuationforcoupledfractionalorderharmonicoscillators
AT huiwang stochasticresonanceresearchonunderdampednonlinearfrequencyfluctuationforcoupledfractionalorderharmonicoscillators
AT tianqizhang stochasticresonanceresearchonunderdampednonlinearfrequencyfluctuationforcoupledfractionalorderharmonicoscillators
_version_ 1724513118210490368

Similar Items