Limit cycles in discontinuous classical Lienard equations

被引：27

作者：

Martins, Ricardo Miranda ^{[1
]}

Mereu, Ana Cristina ^{[2
]}

机构：

[1] Univ Campinas UNICAMP, Inst Math Stat & Sci Comp, BR-13083859 Campinas, SP, Brazil

[2] Univ Fed Sao Carlos, Dept Phys Chem & Math, BR-18052780 Sorocaba, SP, Brazil

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 20卷

基金：

巴西圣保罗研究基金会;

关键词：

Limit cycles; Lienard systems; Averaging theory;

D O I：

10.1016/j.nonrwa.2014.04.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the number of limit cycles which can bifurcate from the periodic orbits of a linear center perturbed by nonlinear functions inside the class of all classical polynomial Lienard differential equations allowing discontinuities. In particular our results show that for any n >= 1 there are differential equations of the form (x) over dot+f (x)(x) over dot + x+sgn( (x) over dot)g(x) = 0, with f and g polynomials of degree n and 1 respectively, having [n/2] 1 limit cycles, where [.] denotes the integer part function. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：67 / 73

页数：7

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