THE STABILITY IN NEURAL NETWORK WITH DELAY AND DYNAMICAL THRESHOLDEFFECTS

1 IntroductionThe researches on dynamics of neural network systems have been arousinga great deal of interests for more than thirty years. In last ten years, many.researches focused on the study of dynamics of neural network models withdelay. In fact, neural networks often have times delay in reality, for exampledue to the finite switching speed of amplifiers in electronic neural networks.Thus, a large amount of excellent results appeared consecutively [1]--[5]. In thispaper, what we study is…     

一类具连续分布变偏差的微分不等式

<正> 在§2中我们给出了(1.1)—(1.4)不存在正解或负解的充分性条件.G.Ladas仅讨论了具常偏差的情形.作者在论文[2]中仅讨论了离散分布变时滞情形.本文将讨论连续分布变时滞与变时超的情形,且证明了[2]中假设条件(H_1)是可以去掉的,即实际上满足条件的ψ(t)是必存在的.     

非自治单种群时滞Kolmogorov系统的持续性和灭绝性

研究非自治单种群时滞Kolmogorov系统,给出了该系统中种群持续和灭绝的充分条件,这些结果与相应的非自治单种群Kolmogorov系统的有关结果相似.     

一类变时滞离散Cohen-Grossberg神经网络模型周期解的存在性及其指数稳定性

利用重合度理论研究了一类变时滞的离散Cohen-Grossberg神经网络模型的周期解,并得到了模型周期解的全局指数稳定性的充分条件,推广了已有的结果,为神经网络的应用提供了重要的理论基础.最后给出一个例子进行数值模拟,数值模拟的结果更好地验证了结论.     

OSCILLATIONS OF NEUTRAL LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH OSCILLATING COEFFICIENTS

We consider L. N. F. D. E with oscillating coefficients. We obtain some sufficient conditionsfor oscillations of equations. Results in [3] are generalized.     

Lurie泛函型方程控制系统的绝对稳定性

本文我们对如下控制系统给出了某些绝对稳定性的充分性条件。 在我们的文章中改正和推广了A.Somo linos的论文中的定理2和定理4。     

NFDE的Lurie型系统的绝对稳定性

1.引言 文[2]研究了一般的RFDE的Lurie型系统的绝对稳定性,推广了[5]、[7]的结果。E.N.Chukwu用Liapunov泛函研究了某一类NFDE的Lurie系统的绝对稳定性,其控制执行机构为一维情形。本文就m个非线性执行机构的情形,用POPOV频率特性方法讨论NFDE的Lurie型系统的绝对稳定性,并推广了[2]的某些结果。 我们考虑下列直接控制系统     

Average consensus of multi-agent systems with communication time delays and noisy links

In this paper,we consider the average-consensus problem with communication time delays and noisy links.We analyze two different cases of coupling topologies:fixed and switching topologies.By utilizing the stability theory of the stochastic differential equations,we analytically show that the average consensus could be achieved almost surely with the perturbation of noise and the communication time delays even if the time delay is time-varying.The theoretical results show that multi-agent systems can tolerate relatively large time delays if the noise is weak,and they can tolerate relatively strong noise if the time delays are low.The simulation results show that systems with strong noise intensities yield slow convergence.     

Modelling the spread of sexually transmitted diseases on scale-free networks

In this paper a new model for the spread of sexually transmitted diseases (STDs) is presented. The dynamic behaviors of the model on a heterogenous scale-free (SF) network are considered, where the absence of a threshold on the SF network is demonstrated, and the stability of the disease-free equilibrium is obtained. Three immunization strategies, uniform immunization, proportional immunization and targeted immunization, are applied in this model. Analytical and simulated results are given to show that the proportional immunization strategy in the model is effective on SF networks.     

THE NEIGHBORHOOD IN STABILIZING HIGHER PERIOD ORBITS FOR DISCRETE CHAOTIC DYNAMICS

1IntroductiollConsiderableattentionhasbeenpaidrecentlytothecontrolofchaoticsystem.Inthispaper,weuseappropriateperturbation(localfeedbackcontrol)tostabilizetheunstablehigherperiodicorbitswhichispresentedbyPaskatoet.al.[8].Ouraimistoinitiallypresenttheestimationofneighborhoodofaperiod-porbitinwhichthecontrolledsystemremainsstable.ConsiderthenonlineardiscretedynamicalsystemwherexuER'isthestatevariable,N4={no,no l,''3no6NU{0}},andfeC'(NAxR',R').Let2beperiod-ppoint,i.e.fi(n,~)=2,then{2,f(n,2)…