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.
Funder
Chongqing Social Science Planning Project
National Science Foundation of China
Natural Science Foundation of Chongqing
Humanities and Social Sciences Research Program of Chongqing Municipal Education Commission
Scientific and Technological Research Program of Chongqing Municipal Education Commission
Foundation of Intelligent Ecotourism Subject Group of Chongqing Three Gorges University
Key Laboratory of Chongqing Municipal Institutions of Higher Education
Publisher
Public Library of Science (PLoS)