https://doi.org/10.1140/epjb/s10051-023-00559-2
Regular Article - Statistical and Nonlinear Physics
Network synchronization under periodic coupling of both positive and negative values
School of Mathematics and Information Science, North Minzu University, 750021, Yinchuan, China
Received:
4
April
2023
Accepted:
14
June
2023
Published online:
26
June
2023
We revisit a system of networked chaotic oscillators subjected to a common periodic coupling, where the coupling is governed by constant coupling strength, coupling frequency, and coupling amplitude. Utilizing the method of master stability function, the effect of periodic coupling on network synchronization is analyzed in detail, and numerical results are verified. It is found that when the coupling is a mixture of both periodic positive and negative couplings, the performance of network synchronization is better than that of periodic positive coupling. Utilizing the approach of finite-time Lyapunov exponent, we find the mechanism for the maximized synchronization performance, that is, the power spectrum of the finite-time Lyapunov exponent, at the characteristic frequencies, is varied from local to wide distributions. If this feature is missing or less prominent, the periodic coupling has less effect on synchronization performance. Our study indicates the validity of the finite-time Lyapunov exponent approach in detecting the synchronization behavior of coupled oscillators and is helpful for grasping the collective behavior of networks with positive and negative couplings.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
