Cluster synchronization induced by manifold deformation

被引：6

作者：

Wang, Ya ^{[1
]}

Zhang, Dapeng ^{[1
]}

Wang, Liang ^{[1
]}

Li, Qing ^{[1
]}

Cao, Hui ^{[1
]}

Wang, Xingang ^{[1
]}

机构：

[1] Shaanxi Normal Univ, Sch Phys & Informat Technol, Xian 710062, Peoples R China

来源：

CHAOS | 2022年 / 32卷 / 09期

基金：

中国国家自然科学基金;

关键词：

OSCILLATORS; NETWORKS;

D O I：

10.1063/5.0107866

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Pinning control of cluster synchronization in a globally connected network of chaotic oscillators is studied. It is found in simulations that when the pinning strength exceeds a critical value, the oscillators are synchronized into two different clusters, one formed by the pinned oscillators and the other one formed by the unpinned oscillators. The numerical results are analyzed by the generalized method of master stability function (MSF), in which it is shown that whereas the method is able to predict the synchronization behaviors of the pinned oscillators, it fails to predict the synchronization behaviors of the unpinned oscillators. By checking the trajectories of the oscillators in the phase space, it is found that the failure is attributed to the deformed synchronization manifold of the unpinned oscillators, which is clearly deviated from that of isolated oscillator under strong pinnings. A similar phenomenon is also observed in the pinning control of cluster synchronization in a complex network of symmetric structures and in the self-organized cluster synchronization of networked neural oscillators. The findings are important complements to the generalized MSF method and provide an alternative approach to the manipulation of synchronization behaviors in complex network systems. Published under an exclusive license by AIP Publishing.

引用

页数：13

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