A simple model for a set of integrate-and-fire neurons based on the weighted network is introduced.By considering the neurobiological phenomenon in brain development and the difference of the synaptic strength,weconst...A simple model for a set of integrate-and-fire neurons based on the weighted network is introduced.By considering the neurobiological phenomenon in brain development and the difference of the synaptic strength,weconstruct weighted networks develop with link additions and followed by selective edge removal.The network exhibitsthe small-world and scale-free properties with high network effficiency.The model displays an avalanche activity ona power-law distribution.We investigate the effect of selective edge removal and the neuron refractory period on theself-organized criticality of the system.展开更多
generalizedBarabasi 艾伯特(GBA ) 上的自我组织的 criticality 的一个修改进化模型没有规模的网络被调查。在我们的模型,我们发现空间、时间的关联展出批评行为。更重要地,这些批评行为随着参数 b 变化,哪个重量与在 GBA 网络进化...generalizedBarabasi 艾伯特(GBA ) 上的自我组织的 criticality 的一个修改进化模型没有规模的网络被调查。在我们的模型,我们发现空间、时间的关联展出批评行为。更重要地,这些批评行为随着参数 b 变化,哪个重量与在 GBA 网络进化的度比较的距离。展开更多
It is shown that the cortical brain network of the macaque displays a hierarchically clustered organizationand the neuron network shows small-world properties.Now the two factors will be considered in our model and th...It is shown that the cortical brain network of the macaque displays a hierarchically clustered organizationand the neuron network shows small-world properties.Now the two factors will be considered in our model and thedynamical behavior of the model will be studied.We study the characters of the model and find that the distribution ofavalanche size of the model follows power-law behavior.展开更多
Based on our previously pulse-coupled integrate-and-fire neuron model in small world networks, we investigate the complex behavior of electroencephalographic (EEG)-like activities produced by such a model. We find EEG...Based on our previously pulse-coupled integrate-and-fire neuron model in small world networks, we investigate the complex behavior of electroencephalographic (EEG)-like activities produced by such a model. We find EEG-like activities have obvious chaotic characteristics. We also analyze the complex behaviors of EEG-like signals,such as spectral analysis, reconstruction of the phase space, the correlation dimension, and so on.展开更多
The simulation results of damage spreading show the happening of dynamical chaotic-frozen phase transition in a one-dimensional system,a neural network with cycle stored patterns and local connection.In chaotic phase,...The simulation results of damage spreading show the happening of dynamical chaotic-frozen phase transition in a one-dimensional system,a neural network with cycle stored patterns and local connection.In chaotic phase,the average number of damaged sites and the survival probability surprisingly obey a power-law behavior.展开更多
A newly proposed method for constructing chaotically synchronizing systems is applied to communication.Several independent information signals can be transmitted at the same time if the chaotic system is a multi-dimen...A newly proposed method for constructing chaotically synchronizing systems is applied to communication.Several independent information signals can be transmitted at the same time if the chaotic system is a multi-dimensional one.Robustness of the method is investigated.展开更多
The variational method has been applied to investigating the phase diagrams of the two parameter actions containing TrU(P)^(3) term in SU(2)lattice gauge theory.The result is in agreement with that obtained by Monte C...The variational method has been applied to investigating the phase diagrams of the two parameter actions containing TrU(P)^(3) term in SU(2)lattice gauge theory.The result is in agreement with that obtained by Monte Carlo simulations.This can be helpful to understand the mechanism of the phase transitions.展开更多
基金The project supported by National Natural Science Foundation of China under Grant No. 90203008 and the Doctoral Foundation of the Ministry of Education of China under Grant No. 2002055009
基金Supported by National Natural Science Foundation of China under Grant No.10675060the Doctoral Foundation of Ministry of Education of China under Grant No.2002055009
文摘A simple model for a set of integrate-and-fire neurons based on the weighted network is introduced.By considering the neurobiological phenomenon in brain development and the difference of the synaptic strength,weconstruct weighted networks develop with link additions and followed by selective edge removal.The network exhibitsthe small-world and scale-free properties with high network effficiency.The model displays an avalanche activity ona power-law distribution.We investigate the effect of selective edge removal and the neuron refractory period on theself-organized criticality of the system.
基金The project supported by National Natural Science Foundation of China under Grant Nos. 90203008 and 10547120 and the Doctoral Foundation of the Ministry of Education of China under Grant No. 2002055009
基金The project supported by National Natural Science Foundation of China under Grant No.10675060the Doctoral Foundation of Ministry of Education of China under Grant No.2002055009
文摘二修改 Dorogovtsev-Mendes (DM ) 基于连接的动力学老化网络当模特儿近邻居被介绍。在旧地点的度和年龄分别地是 k 和 t 的地方,新地点的一个边作为在 DM 的模型与概率 ~ kt <SUP>-α</SUP> 被连接到旧地点。我们考虑二个盒子,即属于的新地点的另外的边有制服和度连接概率的旧地点近邻居分别地。网络结构随着老化代表 α
的增加变化。网络能与小世界的性质生产没有规模的度分布,这被发现。并且不同连接可能性导致网络的不同性质。
基金The project supported by National Natural Science Foundation of China under Grant No. 10675060 and the Doctoral Foundation of Ministry of Education of China
文摘基于 integrate-and-Sre 机制,我们与老化节点在一个修改 BA 没有规模的网络上调查一个简单神经原模型的 self-organizedcriticality。在我们的模型,我们发现雪崩尺寸的分发跟随幂定律行为。批评代表τ取决于变老的代表α。有节点的老化的网络的结构随着α的增加变化。在 integrate-and-fire 神经原的模型有到不同行为的不同拓扑的结构。
基金The project supported by National Natural Science Foundation of China under Grant No. 90203008 and the Doctoral Foundation of Ministry of Education of China
文摘generalizedBarabasi 艾伯特(GBA ) 上的自我组织的 criticality 的一个修改进化模型没有规模的网络被调查。在我们的模型,我们发现空间、时间的关联展出批评行为。更重要地,这些批评行为随着参数 b 变化,哪个重量与在 GBA 网络进化的度比较的距离。
基金supported by National Natural Science Foundation of China under Grant No.10675060
文摘It is shown that the cortical brain network of the macaque displays a hierarchically clustered organizationand the neuron network shows small-world properties.Now the two factors will be considered in our model and thedynamical behavior of the model will be studied.We study the characters of the model and find that the distribution ofavalanche size of the model follows power-law behavior.
基金The project supported by National Natural Science Foundation of China under Grant No. 90203008 and the Doctoral Foundation of the Ministry of Education of China
基金The project supported by National Natural Science Foundation of China under Grant No. 90203008 and the Doctoral Foundation of the Ministry of Education of China.
文摘Based on our previously pulse-coupled integrate-and-fire neuron model in small world networks, we investigate the complex behavior of electroencephalographic (EEG)-like activities produced by such a model. We find EEG-like activities have obvious chaotic characteristics. We also analyze the complex behaviors of EEG-like signals,such as spectral analysis, reconstruction of the phase space, the correlation dimension, and so on.
基金Supported by the National Basic Research Project"Nonlinear Science*'and the National Natural Science Foundation of China。
文摘The simulation results of damage spreading show the happening of dynamical chaotic-frozen phase transition in a one-dimensional system,a neural network with cycle stored patterns and local connection.In chaotic phase,the average number of damaged sites and the survival probability surprisingly obey a power-law behavior.
基金Supported by the National Basic Research Project"Nonlinear Science"the National Natural Science Foundation of China。
文摘A newly proposed method for constructing chaotically synchronizing systems is applied to communication.Several independent information signals can be transmitted at the same time if the chaotic system is a multi-dimensional one.Robustness of the method is investigated.
基金supported in part by the Science Fund of the Chinese Academy of Science。
文摘The variational method has been applied to investigating the phase diagrams of the two parameter actions containing TrU(P)^(3) term in SU(2)lattice gauge theory.The result is in agreement with that obtained by Monte Carlo simulations.This can be helpful to understand the mechanism of the phase transitions.