应用数学2021,Vol.34Issue(3):725-732,8.
具有自交临界流形的平面快慢系统的非光滑鸭解
Nonsmo oth Canards in Planar Fast-Slow Systems with Self-intersecting Critical Manifolds
摘要
Abstract
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Key words
Piecewise-smooth fast-slow system/Canards/Slow manifold/Singularperturbation分类
数理科学引用本文复制引用
谢峰,罗玲瑶..具有自交临界流形的平面快慢系统的非光滑鸭解[J].应用数学,2021,34(3):725-732,8.基金项目
Supported by the Natural Science Foundation of Shanghai(19ZR1400500) (19ZR1400500)