Network dynamics and its relationships to topology and coupling structure in excitable complex networks  

作　　者：张立升 谷伟凤 胡岗 弭元元 

机构地区：[1]State Key Laboratory of Cognitive Neuroscience and Learning, International Digital Group (IDG)/McGovern Institute for Brain Research, and Center for Collaboration and Innovation in Brain and Learning Sciences,Beijing Normal University [2]Department of Physics, Beijing Normal University

出　　处：《Chinese Physics B》2014年第10期626-632,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11174034,11135001,11205041,and 11305112);the Natural Science Foundation of Jiangsu Province,China(Grant No.BK20130282)

摘　　要：All dynamic complex networks have two important aspects, pattern dynamics and network topology. Discovering different types of pattern dynamics and exploring how these dynamics depend or/network topologies are tasks of both great theoretical importance and broad practical significance. In this paper we study the oscillatory behaviors of excitable complex networks （ECNs） and find some interesting dynamic behaviors of ECNs in oscillatory probability, the multiplicity of oscillatory attractors, period distribution, and different types of oscillatory patterns （e.g., periodic, quasiperiodic, and chaotic）. In these aspects, we further explore strikingly sharp differences among network dynamics induced by different topologies （random or scale-free topologies） and different interaction structures （symmetric or asymmetric couplings）. The mechanisms behind these differences are explained physically.All dynamic complex networks have two important aspects, pattern dynamics and network topology. Discovering different types of pattern dynamics and exploring how these dynamics depend or/network topologies are tasks of both great theoretical importance and broad practical significance. In this paper we study the oscillatory behaviors of excitable complex networks （ECNs） and find some interesting dynamic behaviors of ECNs in oscillatory probability, the multiplicity of oscillatory attractors, period distribution, and different types of oscillatory patterns （e.g., periodic, quasiperiodic, and chaotic）. In these aspects, we further explore strikingly sharp differences among network dynamics induced by different topologies （random or scale-free topologies） and different interaction structures （symmetric or asymmetric couplings）. The mechanisms behind these differences are explained physically.

关 键 词：excitable complex networks network topology symmetric and asymmetric couplings 

分 类 号：O157.5[理学—数学]