| 含时滞的耦合Fitz-Hugh-Nagumo系统的全局吸引子 |
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| 引用本文： | 付宇,王小虎,邓添予.含时滞的耦合Fitz-Hugh-Nagumo系统的全局吸引子[J].四川理工学院学报(自然科学版),2009,22(3):28-31. |
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| 作者姓名： | 付宇 王小虎 邓添予 |
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| 作者单位： | 1. 四川理工学院理学院,四川,自贡,643000
2. 四川大学数学学院,成都,610064 |
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| 摘 要： | 文章讨论了含时滞的耦合Fitz-Hugh-Nagumo(FHN)反应扩散系统的长时间行为。由于时滞项的出现。将造成解的先验估计的困难。为此通过构造一个合适的Lyapunov泛函。给出了时滞的耦合FHN系统的全局吸引子存在的一个充分条件。
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| 关 键 词： | 时滞 耦合FHN系统 吸收集 全局吸引子 |
Global Attractor for the Coupled Fitz-Hugh-Nagumo Systems with Delays |
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| FU Yu,WANG Xiao-hu,DENG Tian-yu.Global Attractor for the Coupled Fitz-Hugh-Nagumo Systems with Delays[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2009,22(3):28-31. |
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| Authors: | FU Yu WANG Xiao-hu DENG Tian-yu |
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| Institution: | 1.College of Science;Sichuan University of Science & Engineering;Zigong 643000;China;2.College of Mathematics;Sichuan University;Chengdu 610064;China |
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| Abstract: | This paper was devoted to the investigation of the long time behavior for the coupled Fitz-Hugh-Nagumo reaction diffusion systems with delays.The priori estimates of the solution was difficulty because of the time delays term.By constructing a suitable Lyapunov functional,a sufficient condition on the existence of global attractor for the FHN system was given. |
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| Keywords: | delays coupled FHN systems absorbing set global attractor |
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