First-order approximation for Canard periodic orbits in a vanderPol electronic oscillator

被引：43

作者：

Freire, E ^{[1
]}

Gamero, E ^{[1
]}

Rodríguez-Luis, AJ ^{[1
]}

机构：

[1] ES Ingn, Dept Appl Math 2, Seville 41092, Spain

来源：

APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 02期

关键词：

dynamical systems; canard; van der Pol oscillator;

D O I：

10.1016/S0893-9659(98)00152-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we propose a method to compute, at first order, the value of the parameter for which canard periodic orbits exist, in a van der Pol electronic oscillator. In fact, we provide an alternative way, using dynamical systems tools, to prove a result obtained with nonstandard analysis techniques. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：73 / 78

页数：6