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网络拓扑结构对复杂系统自组织临界行为的影响

批准号10675060 学科分类非传染病流行病学 ( H2610 )
项目负责人韦叶生 负责人职称 依托单位南开大学
资助金额0.00
万元
项目类别地区科学基金项目 研究期限2007 年 01 月 01 日 至
2009 年 12 月 31 日
中文主题词复杂网络;优先连接机制;加权网络;自组织临界线;非线性动力学行为
英文主题词Complex networks;mechanism of preferential attachment;weightednetworks;Self-organized criticality;Nonlinear dynamical beaviors

摘要

中文摘要 本课题研究复杂网络拓扑结构的不同、网络结点连接性质的不同及各种非线性因素带来的动力学复杂性对具有网络结构的复杂系统模型(包括神经网络,生物演化模型,地震模型等)中各种幂律行为,自组织临界行为,连接概率,临界指数,时空关联,时空演化等非线性动力学行为的影响。将网络拓扑结构与非线性因素的影响融合起来研讨、探索复杂网络动力学演化过程中的机理,特别是网络演化中的优先连接机制,老化退出机制,有不同连接权重的加权网络,和有分层结构的网络的一些统计性质及网络上系统的动力学行为,力图联系这些自组织临界行为对地震模型及脑神经网络的非线性动力学行为的影响和可能的应用及启示。..在国内外学术期刊上共发表学术论文15篇,其中被SCI检索的有15篇。
英文摘要 It has been studied in this subject that the influence of the dynamic complexity resulted from differences of topology structures, connection property between the nodes and a variety of nonlinear factors in complex networks on the various nonlinear dynamic behaviors such as the power-low behaviors, Self-organized criticality behaviors as well as the probability of connectionism, the index of criticality, the temporal-space correlation and temporal-space evolution etc in the complex system models that have network structures, including neural networks, biological evolution models, the Earthquake model and so on. Besides, the mechanism of dynamic evolution process has also been studied by means of fusion between the influences of the network topology structures and the nonlinear factors. Especially the mechanism of preferential connection, the mechanism of aging exit, and some statistical properties and dynamic behaviors in weighted networks with various weights and in the networks with hierarchical structures have also been studied and a better understanding of some phenomena in Earthquake model and Brain neural network has been acquired...As the results, 15 academic papers have been published in both domestic and outside journals, and all the papers are indexed by SCI.
结题摘要 本课题研究复杂网络拓扑结构的不同、网络结点连接性质的不同及各种非线性因素带来的动力学复杂性对具有网络结构的复杂系统模型(包括神经网络,生物演化模型,地震模型等)中各种幂律行为,自组织临界行为,连接概率,临界指数,时空关联,时空演化等非线性动力学行为的影响。将网络拓扑结构与非线性因素的影响融合起来研讨、探索复杂网络动力学演化过程中的机理,特别是网络演化中的优先连接机制,老化退出机制,有不同连接权重的加权网络,和有分层结构的网络的一些统计性质及网络上系统的动力学行为,力图联系这些自组织临界行为对地震模型及脑神经网络的非线性动力学行为的影响和可能的应用及启示。 在国内外学术期刊上共发表学术论文15篇,其中被SCI检索的有15篇。

成果

序号 标题 类型 作者
1 Sleeping of a Complex Brain Network with Hierarchical organization 期刊 陈天仑|
2 Analysis of Self-organized Criticality in Weighted Coupled Systems Physica A, 388(2009)1249-1256 期刊 陈天仑|
3 A Mixed Mechanism of Weighted Driven and Inner Selection in Networks 期刊 陈天仑|
4 Self-organized Criticality in a Weighted Earthquake Model 期刊 陈天仑|
5 Effects of aging and self-organized criticality in a pulse-coupled integrate –and –fire neuron model based on small world networks. 期刊 陈天仑|

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