具有自交临界流形的平面快慢系统的非光滑鸭解  

Nonsmooth Canards in Planar Fast-Slow Systems with Self-intersecting Critical Manifolds

作　　者：谢峰[1] 罗玲瑶 XIE Feng;LUO Lingyao(Department of Mathematics,Donghua University,Shanghai 201620,China)

机构地区：[1]东华大学数学系,上海201620

出　　处：《应用数学》2021年第3期725-732,共8页Mathematica Applicata

基　　金：Supported by the Natural Science Foundation of Shanghai (19ZR1400500)。

摘　　要：本文考虑一类分段光滑的平面系统.当临界流形具有自交点时,作者用渐近方法得到了非光滑鸭解存在的充分条件以及鸭解存在时控制参数的渐近估计.In this paper,a class of piecewise-smooth planar fast-slow systems is considered.When the critical manifold has a self-intersection point,sufficient conditions for the existence of nonsmooth canards are obtained using asymptotic methods.Moreover,the asymptotic estimate of the control parameter for which a canard exists is obtained.

关 键 词：分段光滑快慢系统 鸭解 慢流形 奇异摄动 

分 类 号：O175.1[理学—数学]