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

作　　者：FANG JinQing BI Qiao LI Yong LU XinBiao LIU 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)》2007年第3期379-396,共18页中国科学：物理学、力学、天文学（英文版）

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.To describe the real world which is a harmonious unification world with both determinism and randomness, we propose a harmonious unifying hybrid preferential model (HUHPM) of a certain class of complex dynamical networks. HUHPM is governed 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 proposed 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 

分 类 号：N941.3[自然科学总论—系统科学]