具有相同度序列的非同构网络同步能力的比较研究  

Research of Synchronizationability of a Non-Isomorphic Network with the Same Degree Sequence

作　　者：赵军产[1] 谢小良[1] ZHAO Jun-chan XIE Xiao-liang(School of Mathematics and Statistics, Hunan University of Commerce, Changsha 410205, China)

机构地区：[1]湖南商学院数学与统计学院,中国长沙410205

出　　处：《湖南师范大学自然科学学报》2016年第6期68-72,共5页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(61203159;61573011);湖南省教育厅优秀青年项目(16B141)

摘　　要：复杂网络的同步近些年得到了人们的广泛关注.网络结构对网络上节点的同步起着关键的作用.由于复杂网络含有大量的节点,因此,人们常用节点度序列的不同来研究不同网络的同步.然而,同一个度序列可能对应不同结构的网络,它们之间同步的差异未能引起人们的广泛关注.针对这一问题,本文选取了一个度序列,研究三种非同构网络的同步情况,结果表明具有网络中度大的节点位于中心时易于同步.此外,对于相互耦合的Hindmarsh-Rose系统随着耦合强度的增加,它们之间产生了爆炸性同步.The synchronization of complex networks has received extensive attention in recent years. The net-work structure plays a key role in the synchronization of complex networks. A complex network contains a large number of nodes. Therefore, the degree sequence is often used to study different networks. However, the same se-quence may correspond to the different network structure, and the differences between them do not cause people’s attention. To solve this problem, this paper selects a degree sequence to study the synchronization of three non iso-morphic networks, and the results show that the network is easy to synchronize when the large nodes locate in the center. In addition, with the increase of the coupling strength, the explosive synchronization of the coupling Hind-marsh-Rose systems has been produced.

关 键 词：复杂网络 同步 度序列 非同构图 

分 类 号：O175[理学—数学]