| 具有时滞和非时滞耦合的复杂动态网络的自适应同步 |
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| 引用本文： | 王学弟,程燕. 具有时滞和非时滞耦合的复杂动态网络的自适应同步[J]. 数学的实践与认识, 2010, 40(2) |
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| 作者姓名： | 王学弟 程燕 |
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| 作者单位： | 江苏大学理学院数学系,江苏,镇江,212013 |
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| 基金项目： | 国家自然科学基金(10771088); 江苏大学高级人才基金(06JD080) |
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| 摘 要： | 对于同时具有时滞耦合和非时滞耦合的复杂动态网络,以时滞动力系统的稳定性理论为基础,设计了全新的自适应控制器,同时给出了一些简单而又一般的网络同步化准则.对由三个节点组成的动态网络的同步化进行了数值模拟,使得理论分析与数值模拟得到了相互验证.
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| 关 键 词： | 复杂网络 非时滞耦合和时滞耦合 自适应同步 |
Adaptive Synchronization of the Complex Dynamical Network with Delayed and Non-delayed Coupling |
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| WANG Xue-di,CHENG Yan. Adaptive Synchronization of the Complex Dynamical Network with Delayed and Non-delayed Coupling[J]. Mathematics in Practice and Theory, 2010, 40(2) |
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| Authors: | WANG Xue-di CHENG Yan |
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| Affiliation: | WANG Xue-di,CHENG Yan (Department of Mathematics Faculty of Science Jiangsu University,Jiangsu 212013,China) |
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| Abstract: | Based on stability theory on delayed dynamical systems,new adaptive controllers have been designed for the complex dynamical network with non-delayed and delayed coupling. Some simple but less conservative criteria are derived for synchronization of such dynamical network.Illustrative simulations are provided to verify the synchronization of a dynamical network composing of three nodes.The results of the numerical simulations are compatible with the theoretical analysis. |
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| Keywords: | complex network non-delayed and delayed coupling adaptive synchronization |
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