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We propose an impulsive hybrid control method to control the
period-doubling bifurcations and stabilize unstable periodic orbits
embedded in a chaotic attractor of a small-world network. Simulation
results show that the bifurcations can be delayed or completely
eliminated. A periodic orbit of the system can be controlled to any
desired periodic orbit by using this method. 相似文献
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We study how the node delivering capacity is allocated so that the traffic transport efficiency can be enhanced maximally. Network heterogeneity of degree distribution and processing delay of the traffic are considered. An explicit analytical solution is provided, which is based on the M/M/1 queueing theory and optimization principle, provided that the network structure and routing strategy are given. In particular, we extend the relevant conclusions in the literature [Europhys. Lett. 83 (2008) 28001]. Finally, an order parameter simulation example by comparing results with those obtained via simple capacity allocation in large Barabasi—Albert (BA) scale-free network is provided to illustrate the effectiveness of the theoretical results. 相似文献
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In this paper, we study epidemic spreading on random surfer networks with infected avoidance(IA) strategy. In particular, we consider that susceptible individuals' moving direction angles are affected by the current location information received from infected individuals through a directed information network. The model is mainly analyzed by discrete-time numerical simulations. The results indicate that the IA strategy can restrain epidemic spreading effectively. However,when long-distance jumps of individuals exist, the IA strategy's effectiveness on restraining epidemic spreading is heavily reduced. Finally, it is found that the influence of the noises from information transferring process on epidemic spreading is indistinctive. 相似文献
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More and more attention has been focused on effectively generating
chaos via simple physical devices. The problem of creating chaotic
attractors is considered for a class of nonlinear systems with
backlash function in this paper. By utilizing the Silnikov
heteroclinic and homoclinic theorems, some sufficient conditions are
established to guarantee that the nonlinear system has
horseshoe-type chaos. Examples and simulations are given to verify
the effectiveness of the theoretical results. 相似文献
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Stability and Neimark-Sacker bifurcation analysis of a food-limited population model with a time delay
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In this paper,a kind of discrete delay food-limited model obtained by the Euler method is investigated,where the discrete delay τ is regarded as a parameter.By analyzing the associated characteristic equation,the linear stability of this model is studied.It is shown that Neimark-Sacker bifurcation occurs when τ crosses certain critical values.The explicit formulae which determine the stability,direction,and other properties of bifurcating periodic solution are derived by means of the theory of center manifold and normal form.Finally,numerical simulations are performed to verify the analytical results. 相似文献
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EXPONENTIALSTABILITYOFLINEARTIME-VARYINGIMPULSIVEDIFFERENTIALSYSTEMSWITHDELAYS¥GuanZhihong(关治洪);LiuYongqing(刘永清)(SouthChinaUn... 相似文献
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关治洪 《数学物理学报(A辑)》1992,(Z1)
考虑二阶非线性矩阵微分系统t∈[a,+∞)a≥0,其中关于R、Q、Y、F的基本假设和解的振动定义及有关记号如文[4]引言所述,记n阶实对称矩阵的全体为S~(n×n),A_k(a_(ij))_(k×k),容易证明以下结论,其中A,B∈S~(n×n)。 相似文献
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强迫二阶非线性泛函微分方程解的振动性与渐近性 总被引:1,自引:0,他引:1
本文讨论强迫二阶非线性泛函微分方程(a(t)x'(t))'+p(t)f(x(t),x(q(t)))=r(t)解的振动性与渐近性。所得结论改进和推广了已知的一些结果。 相似文献