Percolation on networks with dependence links

As a classical model of statistical physics, the percolation theory provides a powerful approach to analyze the network structure and dynamics. Recently, to model the relations among interacting agents beyond the connection of the networked system, the concept of dependence link is proposed to represent the dependence relationship of agents. These studies suggest that the percolation properties of these networks differ greatly from those of the ordinary networks. In particular,unlike the well known continuous transition on the ordinary networks, the percolation transitions on these networks are discontinuous. Moreover, these networks are more fragile for a broader degree distribution, which is opposite to the famous results for the ordinary networks. In this article, we give a summary of the theoretical approaches to study the percolation process on networks with inter- and inner-dependence links, and review the recent advances in this field, focusing on the topology and robustness of such networks.     

Accelerating Consensus by Preferential Words in the Naming Game

The naming game is a model of nonequilibrium dynamics for the self-organized emergence of a language or a communication system. We study a modified version of the minimal naming game in which the speaker selects a word from its inventory with a probability proportional to exp（Rs ＊ α）, where Rs is the success ratio of the name and α is a tunable parameter. By investigating the effects of α on the evolutionary processes for both square lattice and scale-free networks, we find that the convergence time decreases with the increasing α on both two networks, which indicates that preferential selection of successful words can accelerate the reaching of consensus. More interestingly, for α 〉 0, we find that the relation between convergence time and α exhibits a power-law form.     

低速十字路口交通流模型相图

研究由两个单车道构成低速十字路口交通流模型.模型中两车道上的车辆更新遵循无交通灯管制下的并行规则.依据构建相图的原则并采用局部占有概率方法,建立相图,给出相图中的各部分区域的流量表达式.两车道均采用周期边界条件和确定性FI模型进行数值模拟,模拟结果与理论分析精确一致.模型中两条车道的行车规则更接近实际道路交通,该结果为交通管理提供一定的指导作用.     

混沌中的随机性分析及其在证券中的应用

本通过对混沌的整体秩序与局部随机关系的分析，讨论了当混沌时间序列的自相关函数呈负指数衰减时，我们可以提取混沌中的内在的近似随机的时间序列，并通过运用计量经济中的AR模型进行分析与模拟，模型拟合的结果很理想。由此我们得出对于一类非线性系统同样可以运用一些线性模型来作近似分析。     

EZ模型中的有限尺寸效应

研究EZ模型中的有限尺寸效应.当经纪人数目N足够大及发生交易的概率a1/N，发现有限尺 寸效应是重要的.此时，系统几乎变成包含所有经纪人的单一集团.而对较小集团，尺寸分布 仍然服从幂函数律，但是指数因涨落效应而改变.但当a1/N时，可以论证涨落效应不重要 ，因而平均场理论是严格成立的. 关键词： EZ模型 有限尺寸效应 涨落 平均场理论     

前言

 与人类活动息息相关的生态环境、社会组织、经济体系、信息传播、工程技术等, 甚至作为生命体的人类本身, 都属于复杂系统范畴。在人类文明史上, 诸类现象的研究形成了多种知识体系和方法论, 而近年基于互联网发展所产生的大数据积累正孕育着对经典理论的全面挑战。当知识从直觉转换为数据时, 人类对环境的认知是否会产生质的飞跃?观念的飞跃和数学化是否带来深层次普遍性规律的发现?类似物理理论的建立又能否从根本上提升人类掌控自然的能力?     

STRICT DERIVATION OF MEAN FIELD EQUATION FOR ONE-DIMENSIONAL TRAFFIC FLOW MODEL

A new analysis method is presented for the study of Fukui-Ishibashi deterministic one-dimensional traffic flow cellular automaton model of high speed car on highway. By using this method, the exact mean field equation describing the fundamental diagram curve of average traffic speed versus the car density on highway can be derived strictly.     

一个非线性力学问题的讨论

利用非线性动力学的原理和方法，通过对不动点类型的分析，并利用数值计算给出所研究系统的相图，从而得出质点在不同条件下的运动情况。