| 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,2017,38(1):091~100 |
| 非自治FitzHugh-Nagumo系统拉回吸引子的H2\times H1_0 有界性 |
| H2 \times H1_0 -Boundedness of the Pullback Attractors for the Non-autonomous FitzHugh-Nagumo System |
| Received:October 28, 2014 Revised:April 13, 2015 |
| DOI：10.16205/j.cnki.cama.2017.0008 |
| 中文关键词: Non-autonomous system, Pullback attractor, Boundedness |
| 英文关键词:Non-autonomous system, Pullback attractor, Boundedness |
| 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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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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