Canard solutions of two-dimensional singularly perturbed systems

被引：6
|
作者：
Chen, XF [1 ]
Yu, P
Han, MA
Zhang, WJ
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada
来源：
CHAOS SOLITONS & FRACTALS | 2005年 / 23卷 / 03期
关键词：
D O I：
10.1016/j.chaos.2004.06.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, some new lemmas on asymptotic analysis are established. We apply an asymptotic method to study generalized two-dimensional singularly perturbed systems with one parameter, whose critical manifold has an m-2/2 thorder degenerate extreme point. Certain sufficient conditions are obtained for the existence of canard solutions, which are the extension and correction of some existing results. Finally, one numerical example is given. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：915 / 927
页数：13
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