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Stochastic resonance and synchronization behaviors of excitatory-inhibitory small-world network subjected to electromagnetic induction

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Chinese Physics B 2018年第4期27卷 198-207页

作者： Xiao-Han Zhang Shen-Quan Liu School of Mathematics South China University of Technology Guangzhou 510640 China

The phenomenon of stochastic resonance and synchronization on some complex neuronal networks have been investigated *** studies are of great significance for us to understand the weak signal detection and information transmission in neural ***,the complex electrical activities of a cell can induce time-varying electromagnetic fields,of which the internal fluctuation can change collective electrical activities of neuronal ***,in the past there have been a few corresponding research papers on the influence of the electromagnetic induction among neurons on the collective dynamics of the complex ***,modeling each node by imposing electromagnetic radiation on the networks and investigating stochastic resonance in a hybrid network can extend the interest of the work to the understanding of these network *** this paper,we construct a small-world network consisting of excitatory neurons and inhibitory neurons,in which the effect of electromagnetic induction that is considered by using magnetic flow and the modulation of magnetic flow on membrane potential is described by using memristor *** to our proposed network model,we investigate the effect of induced electric field generated by magnetic stimulation on the transition of bursting phase synchronization of neuronal system under electromagnetic *** is shown that the intensity and frequency of the electric field can induce the transition of the network bursting phase ***,we also analyze the effect of magnetic flow on the detection of weak signals and stochastic resonance by introducing a subthreshold pacemaker into a single cell of the network and we find that there is an optimal electromagnetic radiation intensity,where the phenomenon of stochastic resonance occurs and the degree of response to the weak signal is *** results show that the extension of the subthreshold pacemaker in the network also depe

关键词： electromagnetic induction synchronization stochastic resonance small-world network

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Nonlinear Dynamical Behavior in BS Evolution Model Based on small-world network Added with Mechanism of Preferential Connection

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Communications in Theoretical Physics 2006年第3期45卷 493-498页

作者： ZHANG Ying-Yue CHEN Tian-Lun Department of Physics Nankai University Tianjin 300071 China

In this paper, we introduce a modified small-world network added with new links with preferential connection instead of adding randomly, then we apply Bak-Sneppen （BS） evolution model on this network. Several dynamical character of the model such as the evolution graph, fo avalanche, the critical exponent D and T, and the distribution of mutation times of all the nodes, show particular behaviors different from those of the model based on the regular network and the small-world network.

关键词： connectionpower-law behavior small-world network evolution model preferential

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Nonlinear Dynamical Behavior in BS Evolution Model Based on small-world network Added with Nonlinear Preference

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Communications in Theoretical Physics 2007年第7期48卷 137-142页

作者： ZHANG Ying-Yue YANG Qiu-Ying CHEN Tian-Lun Department of Physics,Nankai University,Tianjin 300071,China Department of Physics Nankai University Tianjin 300071 China

We introduce a modified small-world network adding new links with nonlinearly preferential connectioninstead of adding randomly,then we apply Bak-Sneppen(BS)evolution model on this *** study severalimportant structural properties of our network such as the distribution of link-degree,the maximum link-degree,and thegth of the shortest *** further argue several dynamical characteristics of the model such as the important criticalvalue f_c,the f_0 avalanche,and the mutating condition,and find that those characteristics show panticular behaviors.

关键词： power-law behavior small-world network evolution model nonlinear preference

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Dynamic Evolution with Limited Learning Information on a small-world network

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Communications in Theoretical Physics 2010年第9期54卷 578-582页

作者：董林荣 Oujiang College Wenzhou University

This paper investigates the dynamic evolution with limited learning information on a small-world *** the system, the information among the interaction players is not very lucid, and the players are not allowed to inspectthe profit collected by its neighbors, thus the focal player cannot choose randomly a neighbor or the wealthiest one andcompare its payoff to copy its *** is assumed that the information acquainted by the player declines in theform of the exponential with the geographical distance between the players, and a parameter V is introduced to denotethe inspect-ability about the *** is found that under the hospitable conditions, cooperation increases with therandomness and is inhibited by the large connectivity for the prisoner's dilemma; however, cooperation is maximal atthe moderate rewiring probability and is chaos with the connectivity for the snowdrift *** the two games, theacuminous sight is in favor of the cooperation under the hospitable conditions; whereas, the myopic eyes are advantageousto cooperation and cooperation increases with the randomness under the hostile condition.

关键词： inspect-ability limited learning information small-world network prisoner's dilemma snowdriftgame

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Hybrid Control of Delay Induced Hopf Bifurcation of Dynamical small-world network

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Journal of Shanghai Jiaotong university(Science) 2017年第2期22卷 206-215页

作者：丁大为张肖芸王年梁栋 Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education School of Electronics and Information Engineering Anhui University

In this paper, we focus on the Hopf bifurcation control of a small-world network model with time-delay. With emphasis on the relationship between the Hopf bifurcation and the time-delay, we investigate the effect of time-delay by choosing it as the bifurcation parameter. By using tools from control and bifurcation theory, it is proved that there exists a critical value of time-delay for the stability of the model. When the time-delay passes through the critical value, the model loses its stability and a Hopf bifurcation occurs. To enhance the stability of the model, we propose an improved hybrid control strategy in which state feedback and parameter perturbation are used. Through linear stability analysis, we show that by adjusting the control parameter properly, the onset of Hopf bifurcation of the controlled model can be delayed or eliminated without changing the equilibrium point of the model. Finally, numerical simulations are given to verify the theoretical analysis. © 2017, Shanghai Jiaotong University and Springer-Verlag Berlin Heidelberg.

关键词： Hopf bifurcation hybrid control small-world network bifurcation control

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An application of small-world network on predicting the behavior of infectious disease on campus

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Infectious Disease Modelling 2024年第1期9卷 177-184页

作者： Guojin Wang Wei Yao School of Management Fudan University220 Handan RoadShanghai200433China Shanghai Key Laboratory of Acupuncture Mechanism and Acupoint Function Fudan University220 Handan RoadShanghai200433China

networks haven been widely used to understand the spread of infectious *** study examines the properties of small-world networks in modeling infectious disease on *** different small-world models are developed and the behaviors of infectious disease in the models are observed through numerical *** results show that the behavior pattern of infectious disease in a small-world network is different from those in a regular network or a random *** spread of the infectious disease increases as the proportion of long-distance connections p increasing,which indicates that reducing the contact among people is an effective measure to control the spread of infectious *** probability of node position exchange in a network(p2)had no significant effect on the spreading speed,which suggests that reducing human mobility in closed environments does not help control infectious ***,the spreading speed is proportional to the number of shared nodes(s),which means reducing connections between different groups and dividing students into separate sections will help to control infectious *** the end,the simulating speed of the small-world network is tested and the quadratic relationship between simulation time and the number of nodes may limit the application of the SW network in areas with large populations.

关键词： small-world network Complex networks Infectious disease on campus Susceptible-infected model Numerical simulation Shared nodes between networks

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Nonlinear Dynamical Behavior in BS Evolution Model Based on small-world network Added with Mechanism of Preferential Connection

Nonlinear Dynamical Behavior in BS Evolution Model Based on ...

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全国复杂系统研究论坛

作者： ZHANG Ying-Yue CHEN Tian-Lun Department of Physics,Nankai University,Tianjin 300071,China

本篇文章中把小世界中添加新连接的随机方式改为优先选择方式,于是我们在生物演化模型中应用这一网络。模型中的动力学特征量,如 G(t)演化曲线,f雪崩,临界指数 D和τ,节点的变异次数分布等,体现出与规则网络和小世界网络不同的动力学行... 详细信息

本篇文章中把小世界中添加新连接的随机方式改为优先选择方式,于是我们在生物演化模型中应用这一网络。模型中的动力学特征量,如 G(t)演化曲线,f雪崩,临界指数 D和τ,节点的变异次数分布等,体现出与规则网络和小世界网络不同的动力学行为。本文中,我们在小世界网络的基础上,提出了一种新的推广生物演化模型。

关键词： power-law behavior small-world network evolution model preferential connection

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Hopf Bifurcation in small-world network Model via Time-Delayed Feedback Control

Hopf Bifurcation in Small-World Network Model via Time-Delay...

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第37届中国控制会议

作者： Zukang XIAO Min XIAO Binbin TAO College of Automation Nanjing University of Posts and Telecommunications

In this paper, we study the bifurcation control in a small-world network with time delay. The time delay is chosen as its bifurcation parameter, and the characteristic equation is analyzed to construct the conditions of the stability and Hopf bifurcation. We find that the onset of Hopf bifurcation can be advanced or delayed by adjusting the parameter of the delayed feedback control. Finally, numerical simulations are carried out to verify the theoretical analysis. Moreover, the relationship between the control parameter and the onset of bifurcation is given.

关键词： small-world network Bifurcation control Hopf bifurcation Time-delayed feedback controller

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Optimal network structure to induce the maximal small-world effect

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Chinese Physics B 2014年第2期23卷 623-627页

作者：张争珍许文俊曾上游林家儒 Key Laboratory of Universal Wireless Communications Ministry of EducationBeijing University of Posts and Telecommunications College of Electronic Engineering Guangxi Normal University

In this paper, the general efficiency, which is the average of the global efficiency and the local efficiency, is defined to measure the communication efficiency of a network. The increasing ratio of the general efficiency of a small-world network relative to that of the corresponding regular network is used to measure the small-world effect quantitatively. The more considerable the small-world effect, the higher the general efficiency of a network with a certain cost is. It is shown that the small-world effect increases monotonically with the increase of the vertex number. The optimal rewiring probability to induce the best small-world effect is approximately 0.02 and the optimal average connection probability decreases monotonically with the increase of the vertex number. Therefore, the optimal network structure to induce the maximal small-world effect is the structure with the large vertex number （〉 500）, the small rewiring probability （≈0.02） and the small average connection probability （〈 0.1）. Many previous research results support our results.

关键词： small-world network communication efficiency optimal network structure

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Synchronization and Control of Halo-Chaos in Beam Transport network with small world Topology

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Communications in Theoretical Physics 2007年第4期47卷 752-758页

作者： LIU Qiang FANG Jin-Qing LI Yong China Institute of Atomic Energy P.O. Box 275-81 Beijing 102413 China

The synchronous conditions of two kinds of the small-world （SW） network are studied. The small world topology can affect on dynamical behaviors of the beam transport network （BTN） largely, if the BTN is constructed with the SW topology, the global linear coupling and special linear feedback can realize the synchronization control of beam halo-chaos as well as periodic state in the BTN with the SW topology, respectively. This important result can provide an effective way for the experimental study and the engineering design of the BTN in the high-current accelerator driven radioactive clean nuclear power systems, and may have potential use in prospective applications for halo-chaos secure communication.

关键词： beam halo-chaos synchronization control small-world network beam transport network global linear coupling special linear feedback

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