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本文讨论了一个扰动非线性薛定谔方程对于Stokes波的一类同宿轨道,证明了这类轨道是不存在的。 相似文献
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本文研究了具有不同耦合强度且带有时滞的振子网络上的同步问题.我们给出了该网络同步状态的稳定性准则,证实了其同步状态的稳定性与网络的拓扑性无关.最后,通过数值模拟验证了我们的理论结果. 相似文献
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传播动力学模型主要包括传染病动力学模型、计算机病毒传播模型以及谣言传播模型.首先从传染病动力学模型入手,分别介绍均匀混合传染病动力学模型和网络动力学模型;然后介绍计算机病毒传播模型以及谣言传播模型,并与传染病模型进行对比.最后作了总结与展望. 相似文献
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Adaptive Function Projective Synchronization of Discrete Chaotic Systems with Unknown Parameters
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Adaptive function projective synchronization of discrete-time chaotic systems with unknown parameters is considered. Based on the contraction mapping theorem, proper controllers and estimators are designed. Illustrative examples are provided to show the effectiveness of this method. 相似文献
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从Hessian矩阵入手,研究了几种有限网络上动力系统的两种孤立不变集的Conley指标.对于网络节点仅具有单个状态参量时,分析了在线性耦合关系和非线性耦合关系下的全连接网络(全耦合网络)、最近邻网络和任意连接网络上流的孤立不动点的Conley指标与单个节点状态流的孤立不动点的Conley指标的关系;对于节点具有双状态参量和孤立节点不变集为极限环时,给出了在一定耦合条件下,文中所定义的映射F(s)的C0nley指标与节点状态积流的Conley指标的关系. 相似文献
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Among many epidemic models,one epidemic disease may transmit with the existence of other pathogens or other strains from the same pathogen. In this paper,we consider the case where all of the strains obey the susceptible-infected-susceptible mechanism and compete with each other at the expense of common susceptible individuals. By using the heterogenous mean-field approach,we discuss the epidemic threshold for one of two strains. We confirm the existence of epidemic threshold in both finite and infinite populations subject to underlying epidemic transmission. Simulations in the Barabasi-Albert (BA) scale-free networks are in good agreement with the analytical results. 相似文献
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Genera/dynamical networks with distributed time delays are studied. The topology of the networks are viewed as unknown parameters, which need to be identified. Some auxiliary systems (also called the network estimators) are designed to achieve this goal. Both linear feedback control and adaptive strategy are applied in designing these network estimators. Based on linear matrix inequalities and the Lyapunov function method, the sufficient condition for the achievement of topology identification is obtained. This method can also better monitor the switching topology of dynamical networks. Illustrative examples are provided to show the effectiveness of this method. 相似文献
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This paper extends symbolic dynamics to general cases. Some chaotic properties and applications of the general symbolic dynamics (∑(X),σ) and its special cases are discussed, where X is a separable metric space. 相似文献
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本文构造了两个新的非有限型子移位;讨论了它们在Wiggins,Devaneyg与Li-Yorke意义下的混沌性;并证明了具有相等的正的拓扑熵。 相似文献