共查询到20条相似文献,搜索用时 93 毫秒
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自适应复杂网络是以节点状态与拓扑结构之间存在反馈回路为特征的网络. 针对自适应网络病毒传播模型, 利用非线性微分动力学系统研究病毒传播行为; 通过分析非线性系统对应雅可比矩阵的特征方程, 研究其平衡点的局部稳定性和分岔行为, 并推导出各种分岔点的计算公式. 研究表明, 当病毒传播阈值小于病毒存在阈值, 即R00c时, 网络中病毒逐渐消除, 系统的无病毒平衡点是局部渐近稳定的; R0c0<1时, 网络出现滞后分岔, 产生双稳态现象, 系统存在稳定的无病毒平衡点、较大稳定的地方病平衡点和较小不稳定的地方病平衡点; R0>1时, 网络中病毒持续存在, 系统唯一的地方病平衡点是局部渐近稳定的. 研究发现, 系统先后出现了鞍结分岔、跨临界分岔、霍普夫分岔等分岔行为. 最后通过数值仿真验证所得结论的正确性.
关键词:
自适应网络
稳定性
分岔
基本再生数 相似文献
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针对单输入单输出系统的故障检测, 采用混沌振荡器作为激励源, 并利用非一致延迟时间法对被测系统输出时间序列进行相空间重构. 在相空间中平衡点附近定义了指向Lyapunov指数, 并用其对被测系统输出在相空间中平衡点附近特征结构进行分析, 实现了对单输入单输出系统的故障检测. 仿真结果表明, 被测系统的参数变化将会引起相空间中平衡点附近特征结构的改变, 指向Lyapunov指数对其变化敏感.
关键词:
混沌激励
指向Lyapunov指数
故障检测
单输入单输出系统 相似文献
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内脉冲拉曼散射效应对暗孤子传输系统的影响及其抑制 总被引:1,自引:0,他引:1
利用守恒量扰动法,研究了内脉冲拉曼散射效应对暗孤子脉冲到达检测窗口时间抖到、传输系统误码率的影响。结果表明,内脉冲拉曼散身效应对暗孤子速度产生了影响,引起了暗孤子传输系统的平衡点漂移,并与放大器噪声联合作用增大了暗孤子脉冲到达时间的抖动,恶化了系统的误码率,限制了系统的传输距离。引入非线性增益可以有效3内脉冲拉曼散身效应对暗孤子传输系统的不良影响。 相似文献
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Considering the effect of multiple flux difference, an extended lattice model is proposed to improve the stability of traffic flow. The stability condition of the new model is obtained by using linear stability theory. The theoretical analysis result shows that considering the flux difference effect ahead can stabilize traffic flow. The nonlinear analysis is also conducted by using a reductive perturbation method. The modified KdV (mKdV) equation near the critical point is derived and the kink-antikink solution is obtained from the mKdV equation. Numerical simulation results show that the multiple flux difference effect can suppress the traffic jam considerably, which is in line with the analytical result. 相似文献
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This paper presents an investigation into the dynamic stability of skew plates acted upon simultaneously by an aerodynamic force in the chordwise direction and a random in-plane force in the spanwise direction. Due to this random in-plane force, the plate may become unstable before the aerodynamic force reaches its critical value. In this work, the finite element formulation is applied to obtain the discretized system equations. The system equations are then partially uncoupled and reduced in size by the modal truncation method. Finally, the unsmoothed and the smoothed versions of the stochastic averaging are used to calculate the system response, and the second-moment stability criterion is utilized to determine the stability boundary of the system. Numerical results show that the stability boundary obtained by the smoothed stochastic averaging is less conservative than that obtained by the unsmoothed version, and the former is the tangent of the latter at zero spectral density of the random in-plane force. 相似文献
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The full velocity difference model proposed by Jiang et
al. [2001 Phys. Rev. E 64 017101] has been improved
by introducing velocity anticipation. Velocity anticipation means
the follower estimates the future velocity of the leader. The
stability condition of the new model is obtained by using the linear
stability theory. Theoretical results show that the stability region
increases when we increase the anticipation time interval. The mKdV
equation is derived to describe the kink--antikink soliton wave and
obtain the coexisting stability line. The delay time of car motion
and kinematic wave speed at jam density are obtained in this model.
Numerical simulations exhibit that when we increase the anticipation
time interval enough, the new model could avoid accidents under
urgent braking cases. Also, the traffic jam could be suppressed by
considering the anticipation velocity. All results demonstrate that
this model is an improvement on the full velocity difference model. 相似文献
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Effect of looking backward on traffic flow in an extended multiple car-following model 总被引:1,自引:0,他引:1
In this paper, a new car-following model is proposed by incorporating the backward looking effect under certain conditions and multiple information of preceding cars in traffic flow. And the neutral stability condition of this model can be obtained by using the linear stability theory. Numerical simulation shows that the proposed model is theoretically an improvement over previous ones. 相似文献
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研究了非高斯Lévy噪声激励下非对称双稳系统的相转移和首次穿越问题.首先利用Grünwald-Letnikov有限差分方法数值求解系统所对应的分数阶Fokker-Plank方程,得到了系统的稳态概率密度函数.然后分析了系统的非对称参数以及噪声强度和稳定性指标对稳态概率密度函数的影响,发现了非对称参数和稳定性指标的变化都能够诱导系统发生相转移.进一步研究了系统的平均首次穿越时间,得到了非对称参数、噪声强度和稳定性指标影响系统平均首次穿越时间的不同作用机理.
关键词:
非高斯Lévy噪声
非对称双稳系统
相转移
平均首次穿越时间 相似文献
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The shear-thinning influence on the core-annular flow stability of two immiscible power-law fluids is considered by making a linear stability analysis.The flow is driven by an axial pressure gradient in a straight pipe with the interface between the two fluids occupied by an insoluble surfactant.Given the basic flow for this core-annular arrangement,the analytical solution is obtained with respect to the power-law fluid model.The linearized equations for the evolution of infinitesimal disturbances are deriv... 相似文献
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Linear heave stability boundaries for a fun-duct-plenum air cushion suspension system are presented. These were obtained by using a quasi-static pressure-flow relationship for the fan, a finite element discretization for one dimensional unsteady duct flow, and a lumped capacitance model for the plenum. They indicate that even relatively short ducts can have a major effect at practical flow rates on the stability of cushion systems typically used for amphibious and overland operations. Some results obtained from a non-linear analysis, in which the method of characteristics was used for the duct flow, suggest that the linear approach should be adequate for practical stability calculations. Comparisons with lumped parameter models indicate that here the duct effect is associated primarily with the inertance of the air in the duct. It is also shown that for some operating conditions the duct-plenum system behaves as an Helmholtz resonator. Good agreement is obtained with an earlier transmission line analysis based on the wave equation. 相似文献
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This paper proposes two lattice traffic models by taking into
account the drivers' delay in response. The lattice versions of the
hydrodynamic model are described by the differential-difference
equation and difference-difference equation, respectively. The
stability conditions for the two models are obtained by using the
linear stability theory. The modified KdV equation near the critical
point is derived to describe the traffic jam by using the reductive
perturbation method, and the kink--antikink soliton solutions related
to the traffic density waves are obtained. The results show that the
drivers' delay in sensing headway plays an important role in jamming
transition. 相似文献
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Liguang Xu 《Physics letters. A》2009,373(3):328-333
In this Letter, we are concerned with the mean square exponential stability problem of an impulsive control stochastic system with time-varying delay. By employing the formula for the variation of parameters and estimating the Cauchy matrix, several criteria on mean square exponential stability are derived and the exponential convergence rate is estimated. The obtained criteria can be applied to stabilize the unstable continuous stochastic system by utilizing impulsive control. Two examples are also discussed to illustrate the efficiency of the obtained results. 相似文献
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在大气压氩气介质阻挡放电中,首次通过跃变外加电压得到了稳定的靶波斑图.实验分别研究了跃变再缓变和直接跃变升压模式下靶波斑图的稳定性和波长选择.研究发现,跃变再缓变升压之后得到的靶波斑图不稳定,其与螺旋波相互转换.在这种转换中,靶波每次出现的时间为几十毫秒.直接跃变升压得到的靶波斑图稳定性明显增强,其稳定时间通常为5 min以上.比较不同升压模式下靶波斑图的波长,发现直接跃变升压模式下波长随电压升高减小较快.综上表明,升压模式对靶波斑图的稳定性和波长都有影响.
关键词:
介质阻挡放电
靶波斑图
跃变升压
缓变升压 相似文献