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| 具有脉冲耦合复杂时滞动力网络的同步 | |
| 引用本文： | 张华,颜青,吴泉军,周进. 具有脉冲耦合复杂时滞动力网络的同步[J]. 动力学与控制学报, 2011, 9(4): 348-351 |
| 作者姓名： | 张华 颜青 吴泉军 周进 |
| 作者单位： | 1. 铜仁学院数学与计算机科学系,铜仁 554300;上海大学上海市应用数学和力学研究所,上海200072 2. 铜仁学院数学与计算机科学系,铜仁,554300 3. 上海电力学院数理学院,上海,200090 4. 上海大学上海市应用数学和力学研究所,上海,200072 |
| 基金项目： | 国家自然科学基金项目(10972129和10832006)，教育部博士点基金(200802800015)，上海市教委科技创新项目(10ZZ61), 上海市重点学科建设项目(S30106)和铜仁学院科研启动基金项目(TR051，TS10016)资助 |
| 摘 要： | 考虑了一个具有脉冲耦合的复杂时滞动力网络的同步问题.基于脉冲时滞动力系统扩展的Halanay不等式,给出了网络同步的一个充分条件.所获结果表明,即使网络节点之间仅在一些离散时刻存在瞬时连接,网络仍然能够达到同步.进一步将所得结果应用于一个由混沌FHN神经元振子为动力节点所构成的一个无标度的动力网络,数值仿真结果表明了理... |
| 关 键 词： | 复杂时滞动力网络 脉冲耦合 同步 混沌FHN振子 |
| 收稿时间： | 2010-12-15 |
| 修稿时间： | 2011-06-02 |
Synchronization in complex delayed dynamical networks with impulsive coupling |
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| Zhang Hu,Zhou Jin,Wu Quanjun and Yan Qing. Synchronization in complex delayed dynamical networks with impulsive coupling[J]. Journal of Dynamics and Control, 2011, 9(4): 348-351 | |
| Authors: | Zhang Hu Zhou Jin Wu Quanjun Yan Qing |
| Affiliation: | 1. Department of Mathematics and Computer Science, Tongren College, Tongren 554300, China) ( 2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China ) ( 3. Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China) |
| Abstract: | This paper, considered the synchronization problem in a complex delayed dynamical network with impulsive coupling.A sufficient condition for ensuring network synchronization was derived analytically based on extended Halanay inequality on delayed dynamical systems with impulse.It is shown that such a complex dynamical network can always achieve synchronization even when there exist instantaneous connections among the nodes at a series of instants.Furthermore,the results were applied to a typical scale-free (SF) complex networks consisting of coupled chaotic FHN neuron oscillators,and numerical simulations were carried out to verify and also visualize the theoretical results. |
| Keywords: | complex delayed dynamical network impulsive coupling synchronization chaotic FHN neuron oscillators |
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