Cluster synchronization in colored community network with different order node dynamics |
| |
| Institution: | 1. USP – Univ São Paulo, Departamento de Física, Rua do Matão, Cidade Universitária, Travessa R 187, 05508-090 São Paulo, SP, Brazil;2. School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom;3. UNESP – Univ Estadual Paulista, Departamento de Estatística, Matemática Aplicada e Computação, Av. 24A 1515, Bela Vista, 13506-900 Rio Claro, SP, Brazil;4. UNESP – Univ Estadual Paulista, Departamento de Física, Av. 24A 1515, Bela Vista, 13506-900 Rio Claro, SP, Brazil;5. The Abdus Salam – ICTP, Strada Costiera, 11, 34151 Trieste, Italy;1. Centro de Matemática, Computação e Cognição, Universidade Federal do ABC – UFABC, Rua Santa Adélia, 166, Bairro Bangu, 09.210-170 Santo André, SP, Brazil;2. Dipartimento di Matematica e Informatica, Università Degli Studi di Catania, Viale Andrea Doria, 6, 95125 Catania, Italy;1. Centro de Estadística y Software Matemático, Departamento de Cómputo Científico, Universidad Simón Bolívar, Sartenejas, Venezuela;2. Laboratorio de Fenómenos no Lineales, Escuela de Física, Facultad de Ciencias, Universidad Central de Venezuela, Venezuela;3. Red de Estudios Interdisciplinarios, Academia Nacional de Ciencias Físicas, Matemáticas y Naturales, Venezuela |
| |
| Abstract: | In this paper, a colored community network model with different order nodes dynamics is introduced for the first time. The color of nodes or edges are assumed to be identical if they belong to the same community and nonidentical if they belong to different communities. The color of edges between any pair of communities are assumed to be identical if they connect the same pair of communities and nonidentical if they connect different pair of communities. Further, the order of the node dynamics in different communities can be totally different. Firstly, based on the Lyapunov stability theory, adaptive feedback controllers are designed for achieving cluster synchronization. Secondly, periodically intermittent controllers are designed for achieving cluster synchronization and the synchronization conditions are derived by using mathematical induction method and the analysis technique. Finally, several numerical examples are provided to illustrate the effectiveness of the derived theoretical results. |
| |
| Keywords: | Cluster synchronization Colored community network Adaptive feedback control Periodically intermittent control |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
