Synchronization in complex delayed dynamical networks with impulsive effects

Synchronization in complex delayed dynamical networks with impulsive effects
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具有脉冲效应的复杂延迟动态网络中的同步

DOI:
10.1016/j.physa.2007.05.060
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发表时间:
2007-10
期刊:
Physica A
影响因子:
--
通讯作者:
Lan Xiang
Lan Xiang
中科院分区:
其他
文献类型:
--
作者:
Zengrong Liu;Jin Zhou;Lan Xiang

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本文主要研究具有脉冲效应的复杂时滞动力网络的同步动力学问题。建立了具有脉冲效应的复杂时滞动态网络的一般模型,该模型能够很好地描述与脉冲效应相关的更现实的复杂网络的实际结构。基于时滞动力系统的脉冲稳定性理论,给出了时滞动力网络全局同步的一些简单但保守性较小的判据。结果表明,网络的同步在很大程度上依赖于网络中连接结构的脉冲效应。将理论结果应用于由脉冲耦合混沌时滞Hopfield神经网络节点组成的典型SF网络,并进行了数值仿真。
The present paper is mainly concerned with the issues of synchronization dynamics of complex delayed dynamical networks with impulsive effects. A general model of complex delayed dynamical networks with impulsive effects is formulated, which can well describe practical architectures of more realistic complex networks related to impulsive effects. Based on impulsive stability theory on delayed dynamical systems, some simple but less conservative criterion are derived for global synchronization of such dynamical network. It is shown that synchronization of the networks is heavily dependent on impulsive effects of connecting configuration in the networks. Furthermore, the theoretical results are applied to a typical SF network composing of impulsive coupled chaotic delayed Hopfield neural network nodes, and are also illustrated by numerical simulations.
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