On the number of limit cycles in piecewise-linear Lienard systems

被引：17

作者：

Tonnelier, A ^{[1
]}

机构：

[1] INRIA Lorraine, Cortex Project, F-54602 Villers Les Nancy, France

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2005年 / 15卷 / 04期

关键词：

limit cycles; piecewise-linear systems;

D O I：

10.1142/S0218127405012624

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a previous paper [Tonnelier, 2002] we conjectured that a Lienard system of the form x = p(x) - y, y = x where p is piecewise linear on n + 1 intervals has up to 2n, limit cycles. We construct here a general class of functions p satisfying this conjecture. Limit cycles are obtained from the bifurcation of the linear center.

引用

页码：1417 / 1422

页数：6

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