奇异奇摄动系统的几何方法

陆海波; 倪明康; 武利猛

奇异奇摄动系统的几何方法

1.
华东师范大学~~数学系, 上海 200241

详细信息

中图分类号: O175
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出版历程
- 收稿日期: 2012-06-01
- 修回日期: 2012-09-01
- 刊出日期: 2013-05-25

Geometric singular perturbation approach to singular singularly perturbed systems

1.
Department of Mathematics, East China Normal University, Shanghai 200241, China

摘要

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.
- 几何奇摄动 /
- 奇异奇摄动 /
- 交换引理
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.
- geometric singular perturbation /
- singular singularly perturbed /
- exchange lemma

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参考文献(1)

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