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Title: Cluster synchronization induced by one-node clusters in networks with asymmetric negative couplings

This paper deals with the problem of cluster synchronization in networks with asymmetric negative couplings. By decomposing the coupling matrix into three matrices, and employing Lyapunov function method, sufficient conditions are derived for cluster synchronization. The conditions show that the couplings of multi-node clusters from one-node clusters have beneficial effects on cluster synchronization. Based on the effects of the one-node clusters, an effective and universal control scheme is put forward for the first time. The obtained results may help us better understand the relation between cluster synchronization and cluster structures of the networks. The validity of the control scheme is confirmed through two numerical simulations, in a network with no cluster structure and in a scale-free network.
Authors:
 [1] ;  [2] ;  [3]
  1. School of Science, Hangzhou Dianzi University, Hangzhou 310018 (China)
  2. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004 (China)
  3. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024 (China)
Publication Date:
OSTI Identifier:
22251769
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 23; Journal Issue: 4; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMMETRY; COMPUTERIZED SIMULATION; FUNCTIONS; LYAPUNOV METHOD; MATRICES; SYNCHRONIZATION