| 奇异奇摄动系统的几何方法(英文) |
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| 引用本文： | 陆海波,倪明康,武利猛.奇异奇摄动系统的几何方法(英文)[J].华东师范大学学报(自然科学版),2013,2013(3):140-148. |
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| 作者姓名： | 陆海波 倪明康 武利猛 |
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| 作者单位： | 华东师范大学数学系,上海,200241 |
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| 基金项目： | 国家自然科学基金，中国科学院知识创新工程重大项目，上海市自然科学基金，上海市教委E-研究院 |
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| 摘 要： | 研究了一类奇异奇摄动系统边值问题.通过几何奇摄动理论构造了系统的奇异轨道,并用交换引理证明了解的存在性.最后用该方法研究了一个经典半导体模型.
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| 关 键 词： | 几何奇摄动 奇异奇摄动 交换引理 |
| 收稿时间： | 2012-06-01 |
Geometric singular perturbation approach to singular singularly perturbed systems |
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| LU Hai-bo
,
NI Ming-kang
,
WU Li-meng.Geometric singular perturbation approach to singular singularly perturbed systems[J].Journal of East China Normal University(Natural Science),2013,2013(3):140-148. |
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| Authors: | LU Hai-bo NI Ming-kang WU Li-meng |
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| Institution: | Department of Mathematics, East China Normal University, Shanghai 200241, China |
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| Abstract: | Singularly perturbed systems for which the reduced system
has a manifold of solutions are called singular singularly
perturbed. Boundary value problems for such systems were examined by
geometric singular perturbation approach in this paper. Assumptions
were derived which ensure the existence of a locally unique solution
which is near a singular orbit of the dynamics of limiting fast and
slow systems. |
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| Keywords: | geometric singular perturbation singular singularly perturbed exchange lemma |
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