奇异奇摄动系统的几何方法(英文)  

Geometric singular perturbation approach to singular singularly perturbed systems

作　　者：陆海波[1] 倪明康[1] 武利猛[1] 

机构地区：[1]华东师范大学数学系,上海200241

出　　处：《华东师范大学学报（自然科学版）》2013年第3期140-148,共9页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(11071075,11171113);中国科学院知识创新工程重大项目(30921064,90820307);上海市自然科学基金(10ZR1409200);上海市教委E-研究院(E03004)

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.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.

关 键 词：几何奇摄动 奇异奇摄动 交换引理 

分 类 号：O175[理学—数学]