Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane

被引：93

作者：

Braga, Denis de Carvalho ^{[1
]}

Mello, Luis Fernando ^{[2
]}

机构：

[1] Univ Fed Itajuba, BR-35900373 Itabira, MG, Brazil

[2] Univ Fed Itajuba, Inst Matemat & Comp, BR-37500903 Itajuba, MG, Brazil

来源：

NONLINEAR DYNAMICS | 2013年 / 73卷 / 03期

关键词：

Piecewise linear differential system; Limit cycle; Non-smooth differential system;

D O I：

10.1007/s11071-013-0862-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper we study the existence of limit cycles in a one-parameter family of discontinuous piecewise linear differential systems with two zones in the plane. It is characterized for all the parameter values the number of non-sliding limit cycles of the family studied, detecting a rather non-generic bifurcation leading to the simultaneous generation of three limit cycles.

引用

页码：1283 / 1288

页数：6

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