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.
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页码：1417 / 1422
页数：6
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