A harmonious unifying hybrid preferential model and its universal properties for complex dynamical networks

查看全文 作　　者：FANG [1]JinQing;BI [1,2]Qiao;LI [1]Yong;LU [1,3]XinBiao;LIU [1]Qiang

机构地区：[1]China Institute of Atomic Energy,Beijing 102413,China;[2]State Key Laboratory of Advanced Technology for Materials Synthesis and Processing,Wuhan University of Technology,Wuhan 430070,China;[3]Department of Automation,Shanghai Jiao Tong University,Shanghai 200030,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》索引2007年第50卷第3期,共18页

基　　金：Supported by the Key Project of the National Natural Science Foundation of China (Grand No. 70431002);the National Natural Science Foundation of China (Grand No. 70371068) 摘　　要：To describe the real world which is a harmonious unification world with both de- terminism and randomness, we propose a harmonious unifying hybrid preferential model (HUHPM) of a certain class of complex dynamical networks. HUHPM is gov- erned only by the total hybrid ratio d/r according to the practical need. As some typical examples, the concepts and methods of the HUHPM are applied to the un-weighted BA model proposed by Barabási et al., the weighted BBV model pro- posed by Barat et al. and the weighted TDE model proposed by Wang et al. to get the so-called HUHPM-BA network, HUHPM-BBV network and HUHPM-TDE network. These HUHPM networks are investigated both analytically and numerically. It is found that the HUHPM reveals several universal properties, which more approach to the real-world networks for both un-weighted and weighted networks and have potential for applications. 关键词：HARMONIOUS UNIFYING HYBRID preferential MODEL total HYBRID ratio small world effect SCALE-FREE property un-weighted and WEIGHTED networks

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A harmonious unifying hybrid preferential model and its universal properties for complex dynamical networks

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