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Synchronizability of Highly Clustered Scale-Free Networks

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Chinese Physics Letters 2006年第4期23卷 1046-1049页

作者：吴翔汪秉宏周涛王文旭赵明杨会杰 Department of Modern Physics and Nonlinear Science Center University of Science and Technology of China Hefei 230026

We consider the effect of clustering coefficient on the synchronizability of coupled oscillators located on scale-free networks. The analytic result for the value of clustering coefficient aiming at a highly clustered scale-free network model, the Holme-Kim model is obtained, and the relationship between network synchronizability and clustering coefficient is reported. The simulation results strongly suggest that the more clustered the network, the poorer the synchronizability.

关键词： SMALL-WORLD NETWORKS US FLIGHT NETWORK

An approach to Hang Seng Index in Hong Kong stock market based on network topological statistics

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Chinese Science Bulletin 2006年第5期51卷 624-629页

作者： LI Ping WANG Binghong Department of Basic Sciences Nanjing Institute of Technology Nanjing 210013 China Department of Modern Physics and Nonlinear Science Center University of Science and Technology of China Hefei 230026 China

Using homogenous partition of coarse graining process, the time series of Hang Seng Index (HSI) in Hong Kong stock market is transformed into discrete symbolic sequences S={S1S2S3…}, Si∈(R, r, d, D). Weighted networks of stock market are con- structed by vertices that are 16 2-symbol strings (i.e. 16 patterns of HSI variations), and encode stock market relevant information about interconnections and interactions between fluctuation patterns of HSI in networks topology. By means of the measure- ments of betweenness centrality (BC) in networks, we have at least obtained 3 highest betweenness centrality uniform vertices in 2 order of magnitude of time subinterval scale, i.e. 18.7% vertices undertake 71.9% betweenness centrality of networks, showing statistical stability. These properties cannot be found in random networks; here vertices almost have iden- tical betweenness centrality. By comparison to ran- dom networks, we conclude that Hong Kong stock market, rather than a random system, is statistically stable.

关键词：香港股票市场恒生指数拓扑统计学

The mechanism for the self-adaptation behavior in the evolutionary minority game model

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Chinese Science Bulletin 2004年第5期49卷 432-437页

作者： XIEYanbo WANGBing-Hong YANGWeisong WANGWeining DepartmentofModemPhysicsandNonlinearScienceCenter UniversityofScienceandTechnologyofChinaHefei230026.China

In this paper, we shall present our studies of a generalized evolutionary minority game model in which the agents are divided into several groups. The performance of the individual agent is averaged in each group. We find that there are three different effects in this generalized model, i.e.(1) group averaging effect, (2) left-right asymmetric effect, and (3) self-interaction effect. The former two effects favor the cautious agents, while the last one favors the extreme agents. In most cases, both the analytic results and the numericul simulations demonstrate that the group averaging effect is dominantly important and therefore the performance of the cautious agents is better than that of the extreme agents. However, when the number of groups is sufficiently large, the generalized model can be somehow reduced to the conventional evolutionary minority game model. As the parameters vary in the generalized model, the importance of the above three effects is exchangeable and different types of population distribution emerge.

关键词：自适应行为非对称效应少数民族竞赛阈值

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利用智能决策的双通道交通流

物理学报 2006年第8期55卷 4032-4038页

作者：付传技汪秉宏殷传洋高坤中国科学技术大学近代物理系非线性科学中心合肥230026

考虑依据信息反馈进行智能决策的双通道交通流问题,获得一定信息时,好的决策可以使效率提高.多个体资讯的分析及经验的反馈、判断、再适应是一个多个体复杂适应系统的本质性质,交通流也明显带有以上特性.研究表明,如果机械地利用不好的... 详细信息

考虑依据信息反馈进行智能决策的双通道交通流问题,获得一定信息时,好的决策可以使效率提高.多个体资讯的分析及经验的反馈、判断、再适应是一个多个体复杂适应系统的本质性质,交通流也明显带有以上特性.研究表明,如果机械地利用不好的反馈信息,系统将会存在很大的振荡;智能地利用反馈信息,可以提高系统利用效率.因此,应在尽可能地提供好的反馈信息的同时合理地利用它们.

关键词：元胞自动机信息反馈机械决策智能决策

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一个描述合作网络顶点度分布的模型

物理学报 2006年第1期55卷 60-67页

作者：张培培何阅周涛苏蓓蓓常慧周月平汪秉宏何大韧江苏大学理学院物理系镇江212013 无锡市第一中学无锡214031 中国科学技术大学近代物理系合肥230026 扬州大学物理科学与技术学院扬州225002

讨论一类社会合作网络以及一些与其拓扑结构相似的技术网络的度分布.建议一个最简化模型,通过解析的方法说明这些网络演化的共同动力学机理,而且说明顶点的度分布和项目度分布之间具有密切的一致关系,而项目所含的顶点数分布对度分布的... 详细信息

讨论一类社会合作网络以及一些与其拓扑结构相似的技术网络的度分布.建议一个最简化模型,通过解析的方法说明这些网络演化的共同动力学机理,而且说明顶点的度分布和项目度分布之间具有密切的一致关系,而项目所含的顶点数分布对度分布的影响较小;对模型的更一般情况进行数值模拟,说明上述结论具有一定的普遍性.这个模型显示这类广义的合作网络一般具有处于幂函数和指数函数这两种极端情况之间的度分布.简要介绍对一些实际合作网络做统计研究的结果,说明本模型的合理性.

关键词：合作网络度分布项目度分布项目含顶点数

Cellular automaton model considering headway-distance effect

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Chinese Physics B 2008年第5期17卷 1863-1868页

作者：胡守信高坤汪秉宏陆玉凤 Department of Modern Physics and Nonlinear Science Center University of Science and Technology of China Department of Science Bengbu College Shanghai Academy of System Science

This paper presents a cellular automaton model for single-lane traffic flow. On the basis of the Nagel-Schreckenberg （NS） model, it further considers the effect of headway-distance between two successive cars on the randomization of the latter one. In numerical simulations, this model shows the following characteristics. （1） With a simple structure, this model succeeds in reproducing the hysteresis effect, which is absent in the NS model. （2） Compared with the slow-tostart models, this model exhibits a local fundamental diagram which is more consistent to empirical observations. （3） This model has much higher efficiency in dissolving congestions compared with the so-called NS model with velocitydependent randomization （VDR model）. （4） This model is more robust when facing traffic obstructions. It can resist much longer shock times and has much shorter relaxation times on the other hand. To summarize, compared with the existing models, this model is quite simple in structure, but has good characteristics.

关键词： traffic flow headway-distance phase-transition fundamental diagram

Financial market model based on self-organized percolation

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Chinese Science Bulletin 2005年第19期50卷 2140-2144页

作者： YANG Chunxia WANG Jie ZHOU Tao LIU Jun XU Min ZHOU Peiling WANG Binghong Department of Electronic Science and Technology University of Science and Technology of China Hefei 230026 China Department of Modem Physics University of Science and Technology of China Hefei 230026 China Graduate Program of Bioengineering National University of Singapore Singapore

Starting with the self-organized evolution of the trader group’s structure, a parsimonious percolation model for stock market is established, which can be considered as a kind of betterment of the Cont-Bouchaud model. The return distribution of the present model obeys Lévy form in the center and displays fat-tail property, in accord with the styl-ized facts observed in real-life financial time series. Fur-thermore, this model reveals the power-law relationship be-tween the peak value of the probability distribution and the time scales, in agreement with the empirical studies on the Hang Seng Index.

关键词：金融市场模型自组织过滤 Lévy分布行业组织概率分布

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节点数加速增长的复杂网络生长模型

物理学报 2006年第8期55卷 4051-4057页

作者：李季汪秉宏蒋品群周涛王文旭中国科学技术大学近代物理系

受某些实际网络节点数按几何级数增长现象的启发,构造了每个时间步中按当前网络规模成比例地同时加入多个节点的节点数加速增长的网络模型.研究表明,在增长率不是很大的情况下网络度分布仍然是幂律的,但在不同的增长率r下幂律指数是不同... 详细信息

受某些实际网络节点数按几何级数增长现象的启发,构造了每个时间步中按当前网络规模成比例地同时加入多个节点的节点数加速增长的网络模型.研究表明,在增长率不是很大的情况下网络度分布仍然是幂律的,但在不同的增长率r下幂律指数是不同的.得到了幂律指数介于2到3之间可调的无标度网络模型,并解析地给出了幂律指数随增长率变化的函数关系.数值模拟还显示,网络的平均最短距离随r减小而簇系数随r增大.

关键词：复杂网络无标度网络生长网络模型节点数加速增长网络模型

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演化多重少数者博弈模型中的合作效应

纺织高校基础科学学报 2004年第1期17卷 43-46页

作者：全宏俊华南理工大学应用物理系广东广州510641

提出并研究了演化多重少数者博弈模型.在该模型中经纪人在每时步根据自己的策略选择多方中的一方.每个经纪人拥有一个几率p值,在作选择时以几率p采用自己的最佳策略,以几率1-p采用自己的最差策略.一旦经纪人的财富低于某个给定的值d　(d... 详细信息

提出并研究了演化多重少数者博弈模型.在该模型中经纪人在每时步根据自己的策略选择多方中的一方.每个经纪人拥有一个几率p值,在作选择时以几率p采用自己的最佳策略,以几率1-p采用自己的最差策略.一旦经纪人的财富低于某个给定的值d　(d<0)则改变自己的p值.数值模拟结果显示,引入演化后,经纪人之间的协作性明显增强.

关键词：争当少数者博弈模型演化合作效应