Moment dynamics for stochastic resonance in active rotator systems

We investigate the dynamics of active rotator systems by the moment closure method based on matching derivatives. This method is illustrated and verified in terms of three systems: the single-element rotator, the two coupled rotators and the mean field coupled rotators. Using the moment closure meth...

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Main Authors: Ruonan Liu, Yanmei Kang
Format: Article
Language:English
Published: Elsevier 2024-06-01
Series:Chaos, Solitons & Fractals: X
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2590054424000058
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author Ruonan Liu
Yanmei Kang
author_facet Ruonan Liu
Yanmei Kang
author_sort Ruonan Liu
collection DOAJ
description We investigate the dynamics of active rotator systems by the moment closure method based on matching derivatives. This method is illustrated and verified in terms of three systems: the single-element rotator, the two coupled rotators and the mean field coupled rotators. Using the moment closure method, we study the effect of common noise on active rotator systems from the perspective of stochastic resonance. It is shown that the noise-induced stochastic resonance and parameter-induced stochastic resonance occur in the above three systems. Our observation discloses that the two kinds of stochastic resonance effect can be enhanced by both increasing coupling strength and the number of coupled rotators.
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spelling doaj.art-f3321b9affd1434db1f75869965a11772024-02-21T05:29:34ZengElsevierChaos, Solitons & Fractals: X2590-05442024-06-0112100108Moment dynamics for stochastic resonance in active rotator systemsRuonan Liu0Yanmei Kang1School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou, Jiangsu, 221018, China; Corresponding author.School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, ChinaWe investigate the dynamics of active rotator systems by the moment closure method based on matching derivatives. This method is illustrated and verified in terms of three systems: the single-element rotator, the two coupled rotators and the mean field coupled rotators. Using the moment closure method, we study the effect of common noise on active rotator systems from the perspective of stochastic resonance. It is shown that the noise-induced stochastic resonance and parameter-induced stochastic resonance occur in the above three systems. Our observation discloses that the two kinds of stochastic resonance effect can be enhanced by both increasing coupling strength and the number of coupled rotators.http://www.sciencedirect.com/science/article/pii/S2590054424000058Active rotatorMoment closure methodStochastic resonance
spellingShingle Ruonan Liu
Yanmei Kang
Moment dynamics for stochastic resonance in active rotator systems
Chaos, Solitons & Fractals: X
Active rotator
Moment closure method
Stochastic resonance
title Moment dynamics for stochastic resonance in active rotator systems
title_full Moment dynamics for stochastic resonance in active rotator systems
title_fullStr Moment dynamics for stochastic resonance in active rotator systems
title_full_unstemmed Moment dynamics for stochastic resonance in active rotator systems
title_short Moment dynamics for stochastic resonance in active rotator systems
title_sort moment dynamics for stochastic resonance in active rotator systems
topic Active rotator
Moment closure method
Stochastic resonance
url http://www.sciencedirect.com/science/article/pii/S2590054424000058
work_keys_str_mv AT ruonanliu momentdynamicsforstochasticresonanceinactiverotatorsystems
AT yanmeikang momentdynamicsforstochasticresonanceinactiverotatorsystems