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复杂网络中尺度研究揭开网络同步化过程

陈娟 陆君安

电子科技大学学报2012,Vol.41Issue(1):8-16,9.
电子科技大学学报2012,Vol.41Issue(1):8-16,9.DOI:10.3969/j.issn.1001-0548.2012.01.002

复杂网络中尺度研究揭开网络同步化过程

Mesoscales Reveal Synchronization Processes in Complex Networks

陈娟 1陆君安2

作者信息

  • 1. 武汉科技大学理学院 武汉430081
  • 2. 武汉大学数学与统计学院 武汉430072
  • 折叠

摘要

Abstract

Nowadays, mesoscales in complex networks has been an important topic of research in the field of complex networks. The paper presents the Laplacian spectral features of complex networks and reports the finding of a strong correlation between the laplacian spectrum and the node-degree sequence of a network. Furthermore, the synchronization and generalized synchronization of complex networks under different topological structures at the mesoscale level of description are studied. It is found that synchronization first starts from the nodes with largest degrees. It is also explored that the Laplacian spectrum shows a close relation with community structure and time scales regarding the network synchronization process. For community networks, there exists a general path towards synchronization: partial synchronization-cluster synchronization-global complete synchronization. This dynamical process helps to find the community structure of a network. Finally, some advanced researches of mesoscales in complex networks is introduced.

关键词

复杂网络/Laplacian谱/中尺度/同步过程

Key words

complex networks/Laplacian spectra/mesoscale/synchronization processes

分类

交通工程

引用本文复制引用

陈娟,陆君安..复杂网络中尺度研究揭开网络同步化过程[J].电子科技大学学报,2012,41(1):8-16,9.

基金项目

国家自然科学基金(11172215,60974081,61004096) (11172215,60974081,61004096)

电子科技大学学报

OA北大核心CSCDCSTPCD

1001-0548

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