Emergence of Coherence in Complex Networks of Heterogeneous Dynamical Systems

作     者：Juan G. Restrepo Edward Ott Brian R. Hunt 

作者机构：Institute for Research in Electronics and Applied Physics University of Maryland College Park Maryland 20742 USA Department of Mathematics University of Maryland College Park Maryland 20742 USA Department of Physics and Department of Electrical and Computer Engineering University of Maryland College Park Maryland 20742 USA Institute for Physical Science and Technology University of Maryland College Park Maryland 20742 USA 

出 版 物：《Physical Review Letters》 (Phys Rev Lett)

年 卷 期：2006年第96卷第25期

页      面：254103-254103页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：National Science Foundation  NSF  (0456240  0104087) 

主　　题：.week ending dynamical systems oscillators coherence per node critical coupling All-to-All Kuramoto Model Maryland USA transition to synchrony 

摘      要：We present a general theory for the onset of coherence in collections of heterogeneous maps interacting via a complex connection network. Our method allows the dynamics of the individual uncoupled systems to be either chaotic or periodic, and applies generally to networks for which the number of connections per node is large. We find that the critical coupling strength at which a transition to synchrony takes place depends separately on the dynamics of the individual uncoupled systems and on the largest eigenvalue of the adjacency matrix of the coupling network. Our theory directly generalizes the Kuramoto model of equal strength all-to-all coupled phase oscillators to the case of oscillators with more realistic dynamics coupled via a large heterogeneous network.