INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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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 |
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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.
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Received: 26 May 2014
Revised: 20 August 2014
Accepted manuscript online:
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PACS:
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89.75.Fb
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(Structures and organization in complex systems)
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89.75.Kd
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(Patterns)
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05.65.+b
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(Self-organized systems)
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Fund: 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). |
Corresponding Authors:
Hu Gang,Mi Yuan-Yuan
E-mail: ganghu@bnu.edu.cn;miyuanyuan0102@163.com
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About author: 89.75.Fb; 89.75.Kd; 05.65.+b |
Cite this article:
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 2014 Chin. Phys. B 23 108902
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