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Complex Behavior in a Selective Aging Neuron Model Based on Small World Networks 认领 引用 被引量：2
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作者 ZHANG Gui-Qing CHEN Tian-Lun 《Communications in Theoretical Physics》 SCIE CAS 2008年第2期409-413,共5页
Complex behavior in a selective aging simple neuron model based on small world networks is investigated.The basic elements of the model are endowed with the main features of a neuron function.The structure of the sele... Complex behavior in a selective aging simple neuron model based on small world networks is investigated.The basic elements of the model are endowed with the main features of a neuron function.The structure of the selective aging neuron model is discussed.We also give some properties of the new network and find that the neuron model displays a power-law behavior.If the brain network is small world-like network,the mean avalanche size is almost the same unless the aging parameter is big enough. 展开更多
关键词 selective aging self-organized criticality small world networks finite-size-scaling analysis power-law
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A Modified Earthquake Model of Self-Organized Criticality on Small World Networks 认领 引用 被引量：4
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作者 LINMin ZHAOXiao-Wei CHENTian-Lun 《Communications in Theoretical Physics》 SCIE CAS 2004年第4期557-560,共4页
A modified Olami Feder-Christensen model of self-organized criticality on a square lattice with the properties of small world networks has been studied.We find that our model displays power-law behavior and the expone... A modified Olami Feder-Christensen model of self-organized criticality on a square lattice with the properties of small world networks has been studied.We find that our model displays power-law behavior and the exponent τ of the model depends on φ,the density of long-range connections in our network. 展开更多
关键词 self-organized criticality avalanche small world networks
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Nonlinear Dynamical Behavior in Neuron Model Based on Small World Network with Attack and Repair Strategy 认领 引用 被引量：1
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作者 YANG Qiu-Ying ZHANG Ying-Yue ZHANG Gui-Qing CHEN Tian-Lun 《Communications in Theoretical Physics》 SCIE CAS 2008年第4期965-970,共6页
In this paper, we investigate the effect due to the change of topology structure of network on the nonlinear dynamical behavior, by virtue of the OFC neuron evolution model with attack and repair strategy based on the... In this paper, we investigate the effect due to the change of topology structure of network on the nonlinear dynamical behavior, by virtue of the OFC neuron evolution model with attack and repair strategy based on the small world. In particular, roles of various parameters relating to the dynamical behavior are carefully studied and analyzed. In addition, the avalanche and EEC-like wave activities with attack and repair strategy are also explored in detail in this work. 展开更多
关键词 attack repair self-organized criticality small world network
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Effects of Different Connectivity Topologies in Small World Networks on EEG-Like Activities 认领 引用 被引量：1
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作者 LIN Min ZHANG Gui-Qing CHEN Tian-Lun 《Communications in Theoretical Physics》 SCIE CAS 2006年第2期373-378,共6页
Based on our previously pulse-coupled integrate-and-fire neuron model in small world networks, we investigate the effects of different connectivity topologies on complex behavior of electroencephalographic-like signal... Based on our previously pulse-coupled integrate-and-fire neuron model in small world networks, we investigate the effects of different connectivity topologies on complex behavior of electroencephalographic-like signals produced by this model. We show that several times series analysis methods that are often used for analyzing complex behavior of electroencephalographic-like signals, such as reconstruction of the phase space, correlation dimension, fractal dimension, and the Hurst exponent within the rescaled range analysis （R/S）. We lind that the different connectivity topologies lead to different dynamical behaviors in models of integrate-and-fire neurons. 展开更多
关键词 correlation dimension Hurst exponent small world networks
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Effects of Aging and Self-organized Criticality in a Pulse-Coupled Integrate-and-Fire Neuron Model Based on Small World Networks 认领 引用
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作者 ZHANG Gui-Qing ZHANG Ying-Yue CHEN Tian-Lun 《Communications in Theoretical Physics》 SCIE CAS 2007年第5期869-874,共6页
Effects of aging and self-organized criticality in a pulse-coupled integrate-and-fire neuron model based on small world networks have been studied. We give the degree distribution of aging network, average shortest pa... Effects of aging and self-organized criticality in a pulse-coupled integrate-and-fire neuron model based on small world networks have been studied. We give the degree distribution of aging network, average shortest path length, the diameter of our network, and the clustering coefficient, and find that our neuron model displays the power-law behavior, and with the number of added links increasing, the effects of aging become smaller and smaller. This shows that if the brain works at the self-organized criticality state, it can relieve some effects caused by aging. 展开更多
关键词 aging self-organized criticality small world networks
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Self-organized Criticality and Synchronization in a Pulse-coupled Integrate-and-Fire Neuron Model Based on Small World Networks* 认领 引用
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作者 LINMin CHENTian-Lun 《Communications in Theoretical Physics》 SCIE CAS 2005年第3期466-470,共5页
A lattice model for a set of pulse-coupled integrate-and-fire neurons with small world structure is introduced.We find that our model displays the power-law behavior accompanied with the large-scale synchronized activ... A lattice model for a set of pulse-coupled integrate-and-fire neurons with small world structure is introduced.We 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. 展开更多
关键词 self-organized criticality synchronization small world networks
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Integration of small world networks with multi-agent systems for simulating epidemic spatiotemporal transmission 认领 引用 被引量：6
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作者 LIU Tao LI Xia LIU XiaoPing 《Chinese Science Bulletin》 2010年第13期1285-1293,共9页
This study proposes an integrated model based on small world network(SWN)and multi-agent system(MAS)for simulating epidemic spatiotemporal transmission.In this model,MAS represents the process of spatiotemporal intera... This study proposes an integrated model based on small world network(SWN)and multi-agent system(MAS)for simulating epidemic spatiotemporal transmission.In this model,MAS represents the process of spatiotemporal interactions among individuals,and SWN describes the social relation network among agents.The model is composed of agent attribute definitions,agent movement rules,neighborhoods,construction of social relation network among agents and state transition rules.The construction of social relation network and agent state transition rules is essential for implementing the proposed model.The decay effects of infection"memory",distance and social relation between agents are introduced into the model,which are unavailable in traditional models.The proposed model is used to simulate the transmission process of flu in Guangzhou City based on the swarm software platform.The integration model has better performance than the traditional SEIR model and the pure MAS based epidemic model.This model has been applied to the simulation of the transmission of epidemics in real geographical environment.The simulation can provide useful information for the understanding,prediction and control of the transmission of epidemics. 展开更多
关键词 multi-agent system small world network epidemic spatiotemporal transmission geographic information system
Order parameters and synchronization of FitzHugh-Nagumo small-world networks 认领 引用 被引量：1
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作者 李延龙 马军 +1 位作者 张巍 刘延君 《Chinese Physics B》 SCIE EI CAS 2009年第10期4598-4602,共5页
This paper numerically investigates the order parameter and synchronisation in the small world connected FitzHugh-Nagumo excitable systems. The simulations show that the order parameter continuously decreases with inc... This paper numerically investigates the order parameter and synchronisation in the small world connected FitzHugh-Nagumo excitable systems. The simulations show that the order parameter continuously decreases with increasing D, the quality of the synchronisation worsens for large noise intensity. As the coupling intensity goes up, the quality of the synchronisation worsens, and it finds that the larger rewiring probability becomes the larger order parameter. It obtains the complete phase diagram for a wide range of values of noise intensity D and control parameter g. 展开更多
关键词 order parameter small world network noise
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SEIR-SW, Simulation Model of Influenza Spread Based on the Small World Network 认领 引用 被引量：5
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作者 Fatima-Zohra Younsi Ahmed Bounnekar +1 位作者 Djamila Hamdadou Omar Boussaid 《Tsinghua Science and Technology》 SCIE EI CAS CSCD 2015年第5期460-473,共14页
This study modeled the spread of an influenza epidemic in the population of Oran, Algeria. We investigated the mathematical epidemic model, SEIR（Susceptible-Exposed-Infected-Removed）, through extensive simulations o... This study modeled the spread of an influenza epidemic in the population of Oran, Algeria. We investigated the mathematical epidemic model, SEIR（Susceptible-Exposed-Infected-Removed）, through extensive simulations of the effects of social network on epidemic spread in a Small World（SW） network, to understand how an influenza epidemic spreads through a human population. A combined SEIR-SW model was built, to help understand the dynamics of infectious disease in a community, and to identify the main characteristics of epidemic transmission and its evolution over time. The model was also used to examine social network effects to better understand the topological structure of social contact and the impact of its properties. Experiments were conducted to evaluate the combined SEIR-SW model. Simulation results were analyzed to explore how network evolution influences the spread of desease, and statistical tests were applied to validate the model. The model accurately replicated the dynamic behavior of the real influenza epidemic data, confirming that the susceptible size and topological structure of social networks in a human population significantly influence the spread of infectious diseases. Our model can provide health policy decision makers with a better understanding of epidemic spread,allowing them to implement control measures. It also provides an early warning of the emergence of influenza epidemics. 展开更多
关键词 SEIR-SW（Susceptible-Exposed-Infected-Removed within Small World network） statistical analysis methods Social Network Analysis（SNA） visualization of SNA disease outbreaks
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Small-worldness of brain networks after brachial plexus injury: a resting-state functional magnetic resonance imaging study 认领 引用 被引量：7
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作者 Wei-Wei Wang Ye-Chen Lu +4 位作者 Wei-Jun Tang Jun-Hai Zhang Hua-Ping Sun Xiao-Yuan Feng Han-Qiu Liu 《Neural Regeneration Research》 SCIE CAS CSCD 2018年第6期1061-1065,共5页
Research on brain function after brachial plexus injury focuses on local cortical functional reorganization,and few studies have focused on brain networks after brachial plexus injury.Changes in brain networks may hel... Research on brain function after brachial plexus injury focuses on local cortical functional reorganization,and few studies have focused on brain networks after brachial plexus injury.Changes in brain networks may help understanding of brain plasticity at the global level.We hypothesized that topology of the global cerebral resting-state functional network changes after unilateral brachial plexus injury.Thus,in this cross-sectional study,we recruited eight male patients with unilateral brachial plexus injury（right handedness,mean age of 27.9±5.4years old）and eight male healthy controls（right handedness,mean age of 28.6±3.2）.After acquiring and preprocessing resting-state magnetic resonance imaging data,the cerebrum was divided into 90 regions and Pearson’s correlation coefficient calculated between regions.These correlation matrices were then converted into a binary matrix with affixed sparsity values of 0.1–0.46.Under sparsity conditions,both groups satisfied this small-world property.The clustering coefficient was markedly lower,while average shortest path remarkably higher in patients compared with healthy controls.These findings confirm that cerebral functional networks in patients still show smallworld characteristics,which are highly effective in information transmission in the brain,as well as normal controls.Alternatively,varied small-worldness suggests that capacity of information transmission and integration in different brain regions in brachial plexus injury patients is damaged. 展开更多
关键词 nerve regeneration brachial plexus injury functional magnetic resonance imaging small-world network small-world property topology properties functional reorganization clustering coefficient shortest path peripheral nerve injury neural regeneration
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Scaling of weighted spectral distribution in weighted small-world networks 认领 引用 被引量：1
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作者 Bo Jiao Xiao-Qun Wu 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第2期536-545,共10页
Many real-world systems can be modeled by weighted small-world networks with high clustering coefficients. Recent studies for rigorously analyzing the weighted spectral distribution（W SD） have focused on unweighted ... Many real-world systems can be modeled by weighted small-world networks with high clustering coefficients. Recent studies for rigorously analyzing the weighted spectral distribution（W SD） have focused on unweighted networks with low clustering coefficients. In this paper, we rigorously analyze the W SD in a deterministic weighted scale-free small-world network model and find that the W SD grows sublinearly with increasing network order（i.e., the number of nodes） and provides a sensitive discrimination for each input of this model. This study demonstrates that the scaling feature of the W SD exists in the weighted network model which has high and order-independent clustering coefficients and reasonable power-law exponents. 展开更多
关键词 weighted spectral distribution weighted small-world network scaling
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Emergence of Group Cooperation in Public Goods Game on Regular Small-World Network 认领 引用
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作者 ZHANG Yingqing FAN Ruguo LUO Ming 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2017年第6期529-534,共6页
The regular small-world network, which contains the properties of small-world network and regular network, has recently received substantial attention and has been applied in researches on 2-person games. However, it ... The regular small-world network, which contains the properties of small-world network and regular network, has recently received substantial attention and has been applied in researches on 2-person games. However, it is a common phenomenon that cooperation always appears as a group behavior. In order to investigate the mechanism of group cooperation, we propose an evolutionary multi-person game model on a regular small-world network based on public goods game theory. Then, to make a comparison of frequency of cooperation among different networks, we carry out simulations on three kinds of networks with the same configuration of average degree： the square lattice, regular small-world network and random regular network. The results of simulation show that the group cooperation will emerge among these three networks when the enhancement factor r exceeds a threshold. Furthermore, time required for full cooperation on regular small-world network is slightly longer than the other networks, which indicates that the compact interactions and random interactions will promote cooperation, while the longer-range links are the obstacles in the emergence of cooperation. In addition, the cooperation would be promoted further by enhancing the random interactions on regular small-world network. 展开更多
关键词 regular small-world network public goods game group cooperation
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Immunizations on small worlds of tree-based wireless sensor networks 认领 引用 被引量：9
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作者 李峤 张百海 +2 位作者 崔灵果 范衠 Athanasios V.Vasilakos 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第5期25-33,共9页
The sensor virus is a serious threat,as an attacker can simply send a single packet to compromise the entire sensor network.Epidemics become drastic with link additions among sensors when the small world phenomena occ... The sensor virus is a serious threat,as an attacker can simply send a single packet to compromise the entire sensor network.Epidemics become drastic with link additions among sensors when the small world phenomena occur.Two immunization strategies,uniform immunization and temporary immunization,are conducted on small worlds of tree-based wireless sensor networks to combat the sensor viruses.With the former strategy,the infection extends exponentially,although the immunization effectively reduces the contagion speed.With the latter strategy,recurrent contagion oscillations occur in the small world when the spatial-temporal dynamics of the epidemic are considered.The oscillations come from the small-world structure and the temporary immunization.Mathematical analyses on the small world of the Cayley tree are presented to reveal the epidemic dynamics with the two immunization strategies. 展开更多
关键词 epidemic immunization small world tree-based networks
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Comparative Effects of Avoidance and Immunization on Epidemic Spreading in a Dynamic Small-World Network with Community Structure 认领 引用 被引量：2
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作者 LI Chanchan JIANG Guoping SONG Yurong 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2016年第4期291-297,共7页
Considering the actual behavior of people’s short-term travel,we propose a dynamic small-world community network model with tunable community strength which has constant local links and time varying long-range jumps.... Considering the actual behavior of people’s short-term travel,we propose a dynamic small-world community network model with tunable community strength which has constant local links and time varying long-range jumps.Then an epidemic model of susceptible-infected-recovered is established based on the mean-field method to evaluate the inhibitory effects of avoidance and immunization on epidemic spreading.And an approximate formula for the epidemic threshold is obtained by mathematical analysis.The simulation results show that the epidemic threshold decreases with the increase of inner-community motivation rate and inter-community long-range motivation rate,while it increases with the increase of immunization rate or avoidance rate.It indicates that the inhibitory effect on epidemic spreading of immunization works better than that of avoidance. 展开更多
关键词 epidemic spreading community structure immunization avoidance dynamic small-world network
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Power-Aware Anycast Routing in Wireless Sensor Network Exploiting Small World Effect 认领 引用
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作者 姜楠 杨淑群 +1 位作者 李领治 丁秋林 《Journal of Southwest Jiaotong University(English Edition)》 2008年第4期366-371,共6页
By considering energy-efficient anycast routing in wireless sensor network （WSN）, and combining small world characteristics of WSN with the properties of the ant algorithm, a power-aware anycast routing algorithm （... By considering energy-efficient anycast routing in wireless sensor network （WSN）, and combining small world characteristics of WSN with the properties of the ant algorithm, a power-aware anycast routing algorithm （SWPAR） with multi-sink nodes is pro- posed and evaluated. By SWPAR, the optimal sink node is found and the problem of routing path is effectively solved. Simulation results show that compared with the sink-based anycast routing protocol （SARP） and the hierarchy-based anyeast routing protocol （HARP）, the proposed algorithm improves network lifetime and reduces power consumption. 展开更多
关键词 Small world Ant colony algorithm Anycast routing Wireless sensor network
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Small World Properties Generated by a New Algorithm Under Same Degree of All Nodes 认领 引用 被引量：10
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作者 LI Yong FANG Jin-Qing LIU Qiang LIANG Yong 《Communications in Theoretical Physics》 SCIE CAS 2006年第5期950-954,共5页
Based on the model of the same degree of all nodes we proposed before, a new algorithm, the so-called “spread all over vertices” （SAV） algorithm, is proposed for generating small-world properties from a regular ri... Based on the model of the same degree of all nodes we proposed before, a new algorithm, the so-called “spread all over vertices” （SAV） algorithm, is proposed for generating small-world properties from a regular ring lattices. During randomly rewiring connections the SAV is used to keep the unchanged number of links. Comparing the SAV algorithm with the Watts-Strogatz model and the “spread all over boundaries” algorithm, three methods can have the same topological properties of the small world networks. These results offer diverse formation of small world networks. It is helpful to the research of some applications for dynamics of mutual oscillator inside nodes and interacting automata associated with networks. 展开更多
关键词 small world network the same degree of all nodes in the network “spread all over vertices”algorithm average shortest path length average clustering coefficient
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一种具有small world特性的ESN结构分析与设计 认领 引用 被引量：8
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作者 薄迎春 乔俊飞 张昭昭 《控制与决策》 EI CSCD 北大核心 2012年第3期383-388,共6页
针对回声状态网络(ESN)结构设计复杂、参数选择难度大的问题,提出一种具有small world特性的ESN(SWESN).首先采用神经元空间增长算法在平面区域生成small world拓扑网络;然后根据网络节点与基准点的Euclidean距离将网络节点进行重新排序... 针对回声状态网络(ESN)结构设计复杂、参数选择难度大的问题,提出一种具有small world特性的ESN(SWESN).首先采用神经元空间增长算法在平面区域生成small world拓扑网络;然后根据网络节点与基准点的Euclidean距离将网络节点进行重新排序,并将平面上的物理节点及其连接映射为SWESN的内部神经元连接矩阵,从而使动态神经元池具有small world特性.实验表明,SWESN动力学特性比常规ESN更为丰富,在鲁棒性、抗干扰能力等方面均优于常规的ESN. 展开更多
关键词 回声状态网络 小世界 动态神经元池 动力学特性
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基于无结构P2P网络拓扑平衡的Small World模型探讨 认领 引用 被引量：1
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作者 马义忠 陈薇 +1 位作者 柴亮 刘云 《甘肃科学学报》 2008年第3期82-85,共4页
无结构P2P网络中某些共享资源高的节点容易出现网络阻塞和瓶颈问题.针对此问题引入小世界思想,建立具有小世界特征的网络模型.实验证明该模型不仅能阻止P2P网络中形成星形结构,还达到网络负载平衡和避免网络拥塞,并将用户获取的服务与... 无结构P2P网络中某些共享资源高的节点容易出现网络阻塞和瓶颈问题.针对此问题引入小世界思想,建立具有小世界特征的网络模型.实验证明该模型不仅能阻止P2P网络中形成星形结构,还达到网络负载平衡和避免网络拥塞,并将用户获取的服务与其提供的共享资源联系起来,体现一定的公平性. 展开更多
关键词 小世界 P2P网络 无结构
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一种基于Small World的P2P覆盖网络的研究 认领 引用 被引量：1
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作者 魏文红 李普聪 《计算机工程与应用》 北大核心 2008年第3期148-150,共3页
Small World网络的两个主要特性是平均路径长度小和聚集系数大,参照Small World网络的两个主要特性,提出了一种基于Small World的P2P覆盖网络模型(SWPP),并在SWPP中定义了一套DHT协议,以该协议为基础,提出了SWPP的路由算法及路由容错算... Small World网络的两个主要特性是平均路径长度小和聚集系数大,参照Small World网络的两个主要特性,提出了一种基于Small World的P2P覆盖网络模型(SWPP),并在SWPP中定义了一套DHT协议,以该协议为基础,提出了SWPP的路由算法及路由容错算法,分析了路由长度及路由优化方法,最后通过数值实验分析了SWPP性能。 展开更多
关键词 小世界 节点 组 P2P 覆盖网络
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Small-World在确定性Ad hoc网络信任模型中的应用 认领 引用
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作者 周世颖 郑东 魏薇 《计算机仿真》 2005年第9期113-116,共4页
该文首先介绍了小世界(Small-W orld)现象的起源、发展现状及在现实中的应用。随后介绍了一种基于证书链的Adhoc网络的信任模型。然后根据Ad hoc网络拓扑结构确定性理论,为了在Ad hoc网络中实现“Small-W orld”现象,使得网络中任意节... 该文首先介绍了小世界(Small-W orld)现象的起源、发展现状及在现实中的应用。随后介绍了一种基于证书链的Adhoc网络的信任模型。然后根据Ad hoc网络拓扑结构确定性理论,为了在Ad hoc网络中实现“Small-W orld”现象,使得网络中任意节点之间的信息传输中所经历的中间节点尽可能少,从而节约Ad hoc网络中存在的信息传输对节点计算和电力等资源的不必要的消耗。基于上述理论及对现实应用的考虑,该文建立了一个模型,并在NS-2上进行了仿真实验,最后对该模型的安全性方面进行了一些讨论。 展开更多
关键词 小世界现象 确定性自组织网络 证书 认证
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