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Chaotic motion of the dynamical system under both additive and multiplicative noise excitations 下载免费PDF全文
With both additive and multiplicative noise excitations, the effect on the chaotic behaviour of the dynamical system is investigated in this paper. The random Melnikov theorem with the mean-square criterion that applies to a type of dynamical systems is analysed in order to obtain the conditions for the possible occurrence of chaos. As an example, for the Duffing system, we deduce its concrete expression for the threshold of multiplicative noise amplitude for the rising of chaos, and by combining figures, we discuss the influences of the amplitude, intensity and frequency of both bounded noises on the dynamical behaviour of the Duffing system separately. Finally, numerical simulations are illustrated to verify the theoretical analysis according to the largest Lyapunov exponent and Poincaré map. 相似文献
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一、前言光电技术是军队作战力量的倍增器,这一点在精确制导武器中得到了很好的证明。就反坦克武器而言,精确制导武器已经发展到了第三代。第一代指有线制导光学瞄准目视观察的反坦克导弹,这一代武器已经服役;第二代是指激光制导炮弹和导弹,目前已开始生产和装备部队;第三代则是具有“发射后不用管”能力的武 相似文献
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Complete synchronization of uncertain chaotic dynamical network via a simple adaptive control 下载免费PDF全文
In this paper, based on the invaxiance principle of differential equations, we propose a simple adaptive control method to synchronize the network with coupling of the general form. Comparing with other control approaches, this scheme only depends on each node's state output. So we need not to know the concrete network structure and the solutions of the isolate nodes of the network in advance. In order to demonstrate the effectiveness of the method, a special example is provided and numerical simulations are performed. The numerical results show that our control scheme is very effective and robust against the weak noise. 相似文献
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