| 非线性耦合反应扩散系统解的存在性与脉冲同步 |
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| 引用本文： | 杨万利,黄莉,刘俊红,郑素文.非线性耦合反应扩散系统解的存在性与脉冲同步[J].装甲兵工程学院学报,2010,24(2). |
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| 作者姓名： | 杨万利 黄莉 刘俊红 郑素文 |
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| 作者单位： | 1. 装甲兵工程学院,非线性科学研究所,北京100072
2. 河北经贸大学,数学系,河北,石家庄050001 |
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| 摘 要： | 研究了耦合反应扩散系统整体解的存在性,并对其进行了证明。在此基础上,进一步加入脉冲条件,首次提出该系统脉冲同步的稳定性准则,得出脉冲误差系统是全局拟吸引的结论。
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| 关 键 词： | 耦合反应-扩散系统 整体解 脉冲同步 |
Existence of Solutions and Impulsive Synchronization for Nonlinear Coupled Reaction-diffusion Systems |
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| YANG Wan-li,HUANG Li,LIU Jun-hong,ZHENG Su-wen.Existence of Solutions and Impulsive Synchronization for Nonlinear Coupled Reaction-diffusion Systems[J].Journal of Armored Force Engineering Institute,2010,24(2). |
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| Authors: | YANG Wan-li HUANG Li LIU Jun-hong ZHENG Su-wen |
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| Institution: | YANG Wan-li1,HUANG Li2,LIU Jun-hong1,ZHENG Su-wen1(1. Institute of Nonlinear Science,Academy of Armored Force Engineering,Beijing 100072,China,2. Department of Mathematics,Hebei University of Economics , Trade,Shijiazhang 050001,China) |
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| Abstract: | In this paper,the existence of the global solutions for nonlinear coupled reaction-diffusion systems is first investigated and then testified. On this basis,with impulse condition added,a criterion for impulsive synchronization of the systems is established for the first time,and the conclusion that the impulsive error system is the global attraction is obtained. |
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| Keywords: | coupled reaction-diffusion systems the global solutions impulsive synchronization |
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