School of Information Science and Engineering, Hunan Institute of Science and Technology, Yueyang, Hunan, China.
School of Computer Science and Engineering, Chongqing Three Gorges University, Chongqing, China.
PLoS One. 2023 Aug 3;18(8):e0288657. doi: 10.1371/journal.pone.0288657. eCollection 2023.
An appropriate dynamic coupling form between nodes and edges' state can effectively promote the emergence of desired network function (phenomenon), but the existing literatures have not conducted in-depth research on the coupling mechanism. This paper mainly focuses on the coupling auxiliary mechanism of dynamic edges for the emergence of cluster phenomenon of nodes, explores the essential relation between structure and function in complex dynamical networks (CDNs). Firstly, a novel model of CDNs has dynamic systems attached on not only nodes but also edges is proposed from the viewpoint of large-scale system. Secondly, a feedback nodes controller is synthesized associate with the designed linear and adaptive dynamics of edges. Via the appropriate dynamic behaviors of the edges system, the controlled nodes can realize cluster synchronized. Finally, the validity of the proposed approaches is verified by a given numerical example.
适当的节点和边状态之间的动态耦合形式可以有效地促进所需网络功能（现象）的出现，但现有文献尚未对耦合机制进行深入研究。本文主要关注动态边对节点簇现象出现的耦合辅助机制，探讨复杂动力网络（CDNs）中结构与功能的本质关系。首先，从大规模系统的角度出发，提出了一种在节点和边都附有动态系统的新型 CDNs 模型。其次，设计了边的线性和自适应动力学，并与边的反馈节点控制器综合。通过边系统的适当动态行为，控制节点可以实现簇同步。最后，通过给定的数值示例验证了所提出方法的有效性。
