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Effects of Interactive Function Forms and Refractoryperiod in a Self-Organized Critical Model Based on Neural Networks

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Communications in Theoretical Physics 2004年第1X期42卷 121-125页

作者： zhouli-ming chentian-lun DepartmentofPhysics NankaiUniversityTianjin300071China

Based on the standard self-organizing map neural network model and an integrate-and-tire mechanism, we investigate the effect of the nonlinear interactive function on the self-organized criticality in our model. Based... 详细信息

关键词：神经网络周期性难控制自组织临界性雪崩大脑

Effects of Interactive Function Forms in a Self-Organized Critical Model Based on Neural Networks

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Communications in Theoretical Physics 2003年第5X期40卷 607-613页

作者： ZHAOXiao-Wei zhouli-ming chentian-lun DepartmentofPhysics NankaiUniversityTianjin300071China

Based on the standard self-organizing map neural network model and an integrate-and-fire mechanism, we introduce a kind of coupled map lattice system to investigate scale-invariance behavior in the activity of model neural populations. We let the parameter β, which together with α represents the interactive strength between neurons, have different function forms, and we find the function forms and their parameters are very important to our model''s avalanche dynamical behaviors, especially to the emergence of different avalanche behaviors in different areas of our system.

关键词：神经网络相互作用函数雪崩联合记忆学习过程自适应系统

Spatial and Temporal Behaviors in a Modified Evolution Model Based on Small World Network

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Communications in Theoretical Physics 2004年第2X期42卷 242-246页

作者： ZHAOXiao-Wei zhouli-ming chentian-lun DepartmentofPhysics NankaiUniversityTianjin300071China

In this paper, we introduce a new modified evolution model on a small world network. In our model,the spatial and temporal correlations and the spatial-temporal evolve pattern of mutating nodes exhibit some particular behaviors different from those of the original BS evolution model. More importantly, these behaviors will change with φ, the density of short paths in our network.

关键词：演化模型自组织临界性小世界网络时空行为空间相关性时间相关性

Self-organized Criticality and Synchronization in a Pulse-coupled Integrate-and-Fire Neuron Model Based on Small World Networks＊

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Communications in Theoretical Physics 2005年第3期43卷 466-470页

作者： LINMin chentian-lun DepartmentofPhysics NankaiUniversityTianjin300071China

A lattice model for a set of pulse-coupled integrate-and-fire neurons with small world structure is *** find that our model displays the power-law behavior accompanied with the large-scale synchronized activities among the units. And the different connectivity topologies lead to different behaviors in models of integrate-and-fire neurons.

关键词： self-organized criticality synchronization small world networks

Influence of Different Connectivity Topologies in Small World Networks Modeling Earthquakes

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Communications in Theoretical Physics 2004年第3X期42卷 373-378页

作者： LINMin chentian-lun DepartmentofPhysics NankaiUniversityTianjin300071China

We introduce the Olami-Feder-Christensen (OFC) model on a squarelattice with some "rewired" long-range connections having the properties of small world networks. We find that our model displays the power-law behavior,and connectivity topologies are very important to model's avalanche dynamical behaviors. Our model has some behaviorsdifferent from the OFC model on a small world network with "added" long-range connections in our previous work [LINMin, ZHAO Xiao-Wei, and CHEN Tian-lun, Commun. Theor. Phys. (Beijing, China) 41 (2004) 557.].

关键词：局域网模型自组织临界性雪崩 OFC模型地震模型非线性物理

Nonlinear Time Series Forecast Using Radial Basis Function Neural Networks

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Communications in Theoretical Physics 2003年第2X期40卷 165-168页

作者： ZHENGXin chentian-lun InstituteofPhysics NankaiUniversityTianjin300071China

In the research of using Radial Basis Function Neural Network (RBF NN) forecasting nonlinear time series, we investigate how the different clusterings affect the process of learning and forecasting. We find that k-means clustering is very suitable. In order to increase the precision we introduce a nonlinear feedback term to escape from the local minima of energy, then we use the model to forecast the nonlinear time series which are produced by Mackey-Glass equation and stocks. By selecting the k-means clustering and the suitable feedback term, much better forecasting results are obtained.

关键词：神经网络非线性时间序列聚类分析预测径向基函数神经网络 RBF网络

Different Avalanche Behaviors in Different Specific Areas of a System Based on Neural Networks

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Communications in Theoretical Physics 2003年第3X期40卷 363-368页

作者： ZHAOXiao-Wei chentian-lun DepartmentofPhysics NankaiUniversityTianjin300071China

Based on the standard self-organizing map (SOM) neural network model and an integrate-and-fire mecha-nism, we introduce a kind of coupled map lattice system to investigate scale-invariance behavior in the activity of model neural populations. We find power-law distribution behavior of avalanche size in our model. But more importantly, we find there are different avalanche distribution behaviors in different specific areas of our system, which are formed by the topological learning process of the SOM net.

关键词：神经网络模型自组织临界雪崩现象 SOM 拓扑知识耗散动力系统

A Modified Earthquake Model of Self-Organized Criticality on Small World Networks

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Communications in Theoretical Physics 2004年第4期41卷 557-560页

作者： LINMin ZHAOXiao-Wei chentian-lun DepartmentofPhysics NankaiUniversityTianjin300071China

A modified Olami Feder-Christensen model of self-organized criticality on a square lattice with the properties of small world networks has been *** find that our model displays power-law behavior and the exponent τ o... 详细信息

关键词： self-organized criticality avalanche small world networks

Controlling Spatiotemporal Chaos in Coupled Map Lattices to Periodic Orbits

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Communications in Theoretical Physics 2003年第5X期40卷 527-532页

作者： ZHUKai-En chentian-lun BIANGuo-Xing InstituteofPhysics NankaiUniversityTianjin300071China

Two methods are presented for controlling spatiotemporal chaotic motion in coupled map lattices to a kind of periodic orbit where the dynamicM variables of all lattice sites are equM and act periodically as time evolves. Stability analysis of the periodic orbits is presented. We prove that especially the second controlling method can stabilize all the periodic orbits we concern. Basin of attraction and noise problem are discussed.

关键词：耦合图格子时空混沌混沌控制周期轨道稳定性分析