Geometric singular perturbation approach to singular singularly perturbed systems
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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.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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