Cluster synchronization for controlled nodes via the dynamics of edges in complex dynamical networks

PLoS One. 2023 Aug 3;18(8):e0288657. doi: 10.1371/journal.pone.0288657. eCollection 2023.

Abstract

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.

Publication types

  • Research Support, Non-U.S. Gov't

Grants and funding

Chongqing Social Science Planning Project(2021BS038,Zilin Gao), National Science Foundation of China (61602072,Bo Cheng), Natural Science Foundation of Chongqing (cstc2021jcyj-bshX0035 and cstc2018jcyjAX0725,Zilin Gao),Humanities and Social Sciences Research Program of Chongqing Municipal Education Commission (22SKGH343,Zilin Gao), Scientific and Technological Research Program of Chongqing Municipal Education Commission (KJQN202201246 and KJQN202001233,Zilin Gao), Foundation of Intelligent Ecotourism Subject Group of Chongqing Three Gorges University (zhlv-20221010,Zilin Gao and zhlv-20221024,Cao Chen), and Key Laboratory of Chongqing Municipal Institutions of Higher Education ([2017]3, Zilin Gao). These funds support us in preparation of the manuscript.