| 具有脉冲效应复杂时滞动力网络的同步动力学与控制 |
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| 引用本文： | 周进,刘曾荣.具有脉冲效应复杂时滞动力网络的同步动力学与控制[J].科技导报(北京),2008,26(2):56-60. |
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| 作者姓名： | 周进 刘曾荣 |
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| 作者单位： | 上海大学 上海市应用数学与力学研究所，上海大学系统生物研究所，上海200072，上海200444 |
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| 基金项目： | 国家自然科学基金项目(60474071,10672094)，上海市教委科技发展基金项目(06AZ101)，上海市重点学科建设工程项目(Y0103) |
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| 摘 要： | 从动力学和控制的角度考虑具有脉冲效应复杂时滞动力网络的同步动力学与控制问题。基于时滞动力系统的脉冲稳定性理论,给出了简单而又一般的网络同步化准则;并进一步将所得结果分别应用于由混沌时滞Hopfield神经网络和FHN神经元振子为动力节点所构成的具有脉冲效应无尺度(scale-free)结构复杂动力网络,数值模拟表明了所获理论结果的正确性。
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| 关 键 词： | 复杂动力网络 时滞 脉冲效应 混沌同步与控制 无尺度网络 |
| 文章编号： | 1000-7857（2008）02-0056-05 |
| 收稿时间： | 2007-10-09 |
| 修稿时间： | 2007年10月9日 |
Synchronization and Control in Complex Delayed Dynamical Networks with Impulsive Effects |
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| ZHOU Jin,LIU Zengrong.Synchronization and Control in Complex Delayed Dynamical Networks with Impulsive Effects[J].Science & Technology Review,2008,26(2):56-60. |
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| Authors: | ZHOU Jin LIU Zengrong |
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| Abstract: | The present paper discusses issues of synchronization dynamics and control in complex delayed dynamical networks with impulsive effects from the viewpoint of dynamics and control. Based on impulsive stability theory for delayed dynamical systems, some simple but less conservative criteria are derived for synchronization of such dynamical networks. Furthermore, the theoretical results are applied to some typical scale-free complex networks with impulsive effects composed of coupled chaotic dynamical nodes such as the delayed Hopfield neural networks and the FHN neuron oscillators, and numerical simulations are carried out to verify and also visualize the theoretical results. |
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| Keywords: | complex dynamical networks time delays impulsive effects chaos synchronization and control scale-free networks |
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