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具有自交临界流形的平面快慢系统的非光滑鸭解

谢峰 罗玲瑶

应用数学2021,Vol.34Issue(3):725-732,8.
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

谢峰 1罗玲瑶1

作者信息

  • 1. 东华大学数学系,上海201620
  • 折叠

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)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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