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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Bibliographic Details
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
Description
Summary: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.
ISSN:2590-0544