https://doi.org/10.1140/epjp/s13360-024-05436-0
Regular Article
Collective behaviors of a star-coupled system in a dichotomous fluctuating potential
1
School of Mathematical Sciences, Sichuan Normal University, 610066, Chengdu, Sichuan, China
2
School of Mathematics and Statistics, Linyi University, 276000, Linyi, Shandong, China
Received:
8
April
2024
Accepted:
4
July
2024
Published online:
2
August
2024
This paper investigates synchronization, stability, and stochastic resonance in star-coupled systems driven by multiplicative dichotomous noise and periodic forces. Firstly, conditions for the asymptotic stability of the first and second moments of the system’s output response, as well as synchronization conditions for the subsystems, are derived. To explore the stochastic resonance in the system, analytical expressions for the output amplitude gain of the central system and the mean field of the subsystems are formulated. Simulation results verify the reliability of these synchronization and stability conditions. Through parameter analysis, the study reveals the complex dependency of system stability and synchronization on coupling direction, strength, potential field parameter, and noise correlation rate. The findings indicate that coupling parameters significantly influence system stability and synchronization, while increased noise intensity typically leads to loss of synchronization. Additionally, the output amplitude gain exhibits a nonlinear trend with system parameters, highlighting complex stochastic resonance in the coupled system, including single-peak, double-peak, and multi-peak stochastic resonance.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
