Synchronization in networks of networks: The onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators

作     者：Ernest Barreto Brian Hunt Edward Ott Paul So 

作者机构：Department of Physics & Astronomy The Center for Neural Dynamics and The Krasnow Institute for Advanced Study George Mason University Fairfax Virginia 22030 USA Department of Mathematics and Institute for Physical Science and Technology University of Maryland College Park Maryland 20742 USA Institute for Research in Electronics and Applied Physics Department of Physics and Department of Electrical and Computer Engineering University of Maryland College Park Maryland 20742 USA 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2008年第77卷第3期

页      面：036107-036107页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

主　　题：COUPLED OSCILLATORS COMPLEX NETWORKS KURAMOTO 

摘      要：The onset of synchronization in networks of networks is investigated. Specifically, we consider networks of interacting phase oscillators in which the set of oscillators is composed of several distinct populations. The oscillators in a given population are heterogeneous in that their natural frequencies are drawn from a given distribution, and each population has its own such distribution. The coupling among the oscillators is global, however, we permit the coupling strengths between the members of different populations to be separately specified. We determine the critical condition for the onset of coherent collective behavior, and develop the illustrative case in which the oscillator frequencies are drawn from a set of (possibly different) Cauchy-Lorentz distributions. One motivation is drawn from neurobiology, in which the collective dynamics of several interacting populations of oscillators (such as excitatory and inhibitory neurons and glia) are of interest.