在非对称尖点附近扩展的慢流形  

Extending Slow Manifold Near an Asymmetric Cusp Point

作　　者：谢峰[1] 张婉军 XIE Feng;ZHANG Wanjun(Department of Mathematics,School of Science,Donghua University,Shanghai 201620,China)

机构地区：[1]东华大学理学院数学系,上海201620

出　　处：《应用数学》2023年第3期662-673,共12页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (12271088);the Natural Science Foundation of Shanghai (21ZR1401000)。

摘　　要：本文研究非对称尖点附近慢流形的扩展问题.利用吹胀法和动力系统理论方法,获得了在非对称尖点附近扩展的慢流形.In this paper,we investigate the dynamics of singularly perturbed differential equations near an asymmetric cusp point,where the critical manifold loses its hyperbolicity.Our results are proved by means of blow-up transformations combined with standard tools in the theory of dynamical system.

关 键 词：慢流形 非对称尖点 奇异摄动 吹胀 

分 类 号：O175.1[理学—数学]