Existence of canard manifolds in a class of singularly perturbed systems

被引:2
|
作者
Xie, F [1 ]
Han, MA
Zhang, WJ
机构
[1] Donghua Univ, Dept Appl Math, Shanghai 200051, Peoples R China
[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[3] Shanghai Normal Univ, Dept Math, Shanghai 200240, Peoples R China
[4] E Inst Shanghai Univ, SJTU, Div Computat Sci, Shanghai, Peoples R China
关键词
singular perturbations; canards; canard manifolds; integral manifolds;
D O I
10.1016/j.na.2005.06.023
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a class of singularly perturbed systems of ordinary differential equations are considered. Sufficient conditions for the existence of canard manifolds are obtained by the method of integral manifolds. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:457 / 470
页数:14
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