Synchronization in general complex delayed dynamical networks
Synchronization in general complex delayed dynamical networks
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DOI：
10.1109/tcsi.2005.859050
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发表时间：
2006-03
期刊：
影响因子：
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通讯作者：
Jin Zhou;Tianping Chen
中科院分区：
文献类型：
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作者：
Jin Zhou;Tianping Chen
本文研究了一般复杂时滞网络模型的同步动力学以及时滞的影响。一些简单而通用的标准，确保延迟无关和延迟相关的同步推导出，这是保守性比那些迄今为止在文献中报道。此外，还提出了一个由耦合矩阵的最小特征值和次大特征值的函数表示的尺度nu，用于分析时滞对网络同步的影响。此外，还研究了各种耦合方案，包括小世界网络和无标度网络。结果表明，如果耦合延迟小于一个正的阈值，那么网络将同步。另一方面，随着耦合时延的增加，网络的同步性将受到抑制，甚至最终被去同步化。最后用混沌Duffing振子构成的原型系统说明了结果。数值模拟也验证了理论结果
This paper investigates synchronization dynamics of a general model of complex delayed networks as well as the effects of time delays. Some simple yet generic criteria ensuring delay-independent and delay-dependent synchronization are derived, which are less conservative than those reported so far in the literature. Moreover, a scale "nu" denoted by a function of the smallest and the second largest eigenvalues of coupling matrix is presented to analyze the effects of time delays on synchronization of the networks. Furthermore, various kinds of coupling schemes, including small-world networks and scale-free networks, are studied. It is shown that, if the coupling delays are less than a positive threshold, then the network will be synchronized. On the other hand, with the increase of the coupling delays, the synchronizability of the network will be restrained and even eventually desynchronized. The results are illustrated by a prototype composed of the chaotic Duffing oscillators. Numerical simulations are also given to verify theoretical results