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

doi:10.1088/1674-1056/23/10/108902

中国物理B ›› 2014, Vol. 23 ›› Issue (10): 108902-108902.doi: 10.1088/1674-1056/23/10/108902

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

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

张立升^a, 谷伟凤^b, 胡岗^b, 弭元元^a

a 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, Beijing 100875, China;
b Department of Physics, Beijing Normal University, Beijing 100875, China

收稿日期:2014-05-26 修回日期:2014-08-20 出版日期:2014-10-15 发布日期:2014-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11174034, 11135001, 11205041, and 11305112) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20130282).

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

Zhang Li-Sheng (张立升)^a, Gu Wei-Feng (谷伟凤)^b, Hu Gang (胡岗)^b, Mi Yuan-Yuan (弭元元)^a

a 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, Beijing 100875, China;
b Department of Physics, Beijing Normal University, Beijing 100875, China

Received:2014-05-26 Revised:2014-08-20 Online:2014-10-15 Published:2014-10-15
Contact: Hu Gang,Mi Yuan-Yuan E-mail:ganghu@bnu.edu.cn;miyuanyuan0102@163.com
About author:89.75.Fb; 89.75.Kd; 05.65.+b
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11174034, 11135001, 11205041, and 11305112) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20130282).

摘要/Abstract

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 on 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

Abstract: 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 on 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.

Key words: excitable complex networks, network topology, symmetric and asymmetric couplings

中图分类号: (Structures and organization in complex systems)

89.75.Fb

89.75.Kd (Patterns) 05.65.+b (Self-organized systems)

张立升, 谷伟凤, 胡岗, 弭元元. Network dynamics and its relationships to topology andcoupling structure in excitable complex networks[J]. 中国物理B, 2014, 23(10): 108902-108902.

Zhang Li-Sheng (张立升), Gu Wei-Feng (谷伟凤), Hu Gang (胡岗), Mi Yuan-Yuan (弭元元). Network dynamics and its relationships to topology andcoupling structure in excitable complex networks[J]. Chin. Phys. B, 2014, 23(10): 108902-108902.

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

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

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