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1.
The spiking behavior with varying time delay in scale-free networks of Hodgkin-Huxley neurons with non-Gaussian noise has been studied,and the effect of non-Gaussian noise on the delay-induced spiking behavior is discussed. It was found that multiple spatio-temporal resonances occur when the delay lengths are integer multiples of the spiking periods,and the resonances may be strengthened when the non-Gaussian noise is appropriate. This result shows that time delays can optimize the spiking temporal regulari...  相似文献   
2.
Models for diseases spreading are not just limited to SIS or SIR. For instance, for the spreading of AIDS/HIV, the susceptible individuals can be classified into different cases according to their immunity, and similarly, the infected individuals can be sorted into different classes according to their infectivity. Moreover, some diseases may develop through several stages. Many authors have shown that the individuals' relation can be viewed as a complex network. So in this paper, in order to better explain the dynamical behavior of epidemics, we consider different epidemic models on complex networks, and obtain the epidemic threshold for each ease. Finally, we present numerical simulations for each case to verify our results.  相似文献   
3.
王丹  井元伟  郝彬彬 《物理学报》2012,61(22):154-161
研究两种高聚类系数无标度网络演化机理对网络同步能力的影响.首先,以Holme和Kim(HK)模型为基础,提出了度分布和聚类系数均可调的扩展HK模型(EHK模型).扩展HK模型将HK模型中的三角结构扩展到了旧节点之间,解决了HK模型边的演化只存在新旧节点之间以及每个时间步加入网络节点的边数固定的不足.其次,研究了三角结构演化机理对网络同步能力的影响.最后,仿真研究发现三角结构的演化机理降低了两类无权网络的同步能力.  相似文献   
4.
The dynamics of information traffic over scale-free networks has been investigated systematically. A series of routing strategies of data packets have been proposed, including the local routing strategy, the next-nearest-neighbour routing strategy, and the mixed routing strategy based on local static and dynamic information. The capacity of the network can be quantified by the phase transition from free flow state to congestion state. The optimal parameter values of each model leading to the highest efficiency of scale-free networked traffic systems have been found. Moreover, we have found hysteretic loop in networked traffic systems with finite packets delivering ability. Such hysteretic loop indicates the existence of the bi-stable state in the traffic dynamics over scale-free networks.   相似文献   
5.
An improved weighted scale-free network, which has two evolution mechanisms: topological growth and strength dynamics, has been introduced. The topology structure of the model will be explored in details in this work. The evolution driven mechanism of Olami-Feder Christensen (OFC) model is added to our model to study the self-organlzed criticality and the dynamical behavior. We also.consider attack mechanism and the study of the model with attack is also investigated in this paper. We tlnd there are differences between the model with attack and without attack.  相似文献   
6.
In this paper, we study the epidemic spreading in scale-free networks and propose a new susceptible-infected-recovered (SIR) model that includes the effect of individual vigilance. In our model, the effective spreading rate is dynamically adjusted with the time evolution at the vigilance period. Using the mean-field theory, an analytical result is derived. It shows that individual vigilance has no effect on the epidemic threshold. The numerical simulations agree well with the analytical result. Furthermore, we investigate the effect of individual vigilance on the epidemic spreading speed. It is shown that individual vigilance can slow the epidemic spreading speed effectively and delay the arrival of peak epidemic infection.  相似文献   
7.
很多现实的复杂网络都具有无标度特性,其节点度具有幂律分布的规律。主要讨论幂指数γ<2的无标度网络的性质,指出当γ<2时,网络中最小度的节点数以及网络的平均度都与网络大小N有某种数量关系。通过与γ≥2的无标度网络对比,该类特殊网络呈现出不同的性质和行为,网络的边与节点相比呈现快速增长,具有更大的平均度,网络中有更多的边,网络不再稀疏。  相似文献   
8.
技术创新网络是企业、大学、研究机构等相关组织基于共同的技术创新目标而建立起来的一种网络组织形式,像其他生命体一样存在着萌芽、成长、成熟和衰退的生命周期.网络的演化与网络成员的行为密切相关,在分析组织进入网络、增加合作和退出网络机制的基础上构建了技术创新网络演化模型,研究不同演化阶段的特征.理论推导和仿真结果表明:技术创新网络整个生命周期中保持着无标度特性;组织进入网络、增加合作和退出网络的速度决定了技术创新网络的生命周期以及其所处生命周期的阶段.  相似文献   
9.
提出具有加权传播率和非线性传染能力的SIR模型和SIS模型,通过平均场方法证明了这两个模型在加权无标度网络中可以存在非零的传播阈值,从而传播率需要跨越更大的传播阈值才能流行.并且得到的结果在特殊情况下可退化为已有的一些经典结论.  相似文献   
10.
基于二项分布随机增长的无标度网络   总被引:1,自引:0,他引:1  
陈琴琴  陈丹青 《数学研究》2010,43(2):185-192
提出—个具有随机增长的无标度网络模型.该模型的演化规则仍然是BA模型的增长和择优连接,但是每一时间间隔添加到网络中的边数是—个具有二项分布的随机变量.通过率方程方法,本文证明了该网络的度分布具有幂律尾部,该模型生成了—个无标度网络.  相似文献   
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