| 非自治FitzHugh-Nagumo系统拉回吸引子的H2\times H1_0 有界性 |
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| 引用本文： | 伍亚军,李晓军.非自治FitzHugh-Nagumo系统拉回吸引子的H2\times H1_0 有界性[J].数学年刊A辑(中文版),2017,38(1):091-100. |
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| 作者姓名： | 伍亚军 李晓军 |
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| 作者单位： | 河海大学理学院, 南京 210098.,河海大学理学院, 南京 210098. |
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| 基金项目： | 本文受到国家自然科学基金(No.11571092)的资助. |
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| 摘 要： | 研究带奇异扰动非自治~FitzHugh-Nagumo系统拉回吸引子的
$H^{2}\times H^{1}_{0}$ 有界性. 为此, 首先建立关于过程有界不变集的
$H^{2}\times H^{1}_{0}$ 有界性, 从而得到原系统拉回吸引子的有界性结果.
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| 关 键 词： | Non-autonomous system Pullback attractor Boundedness |
| 收稿时间： | 2014/10/28 0:00:00 |
| 修稿时间： | 2015/4/13 0:00:00 |
H2 \times H1_0 -Boundedness of the Pullback Attractors for the Non-autonomous FitzHugh-Nagumo System |
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| WU Yajun and LI Xiaojun.H2 \times H1_0 -Boundedness of the Pullback Attractors for the Non-autonomous FitzHugh-Nagumo System[J].Chinese Annals of Mathematics,2017,38(1):091-100. |
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| Authors: | WU Yajun and LI Xiaojun |
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| Institution: | College of Science, Hohai University,Nanjing 210098, China. and College of Science, Hohai University,Nanjing 210098, China. |
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| Abstract: | In this paper, the authors study $
H^{2} \times H^{1}_{0} $-boundedness
for the pullback attractors of the non-autonomous FitzHugh-Nagumo
system with singular perturbation. First $H^{2} \times H^{1}_{0} $-boundedness
of invariant sets for the evolution process is established. Then the boundedness for the
pullback attractors of the original system is obtained. |
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| Keywords: | Non-autonomous system Pullback attractor Boundedness |
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