LIMIT CYCLES FOR A CLASS OF CONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH THREE ZONES

被引：6
作者：
Silva Lima, Mauricio Firmino [1 ]
Llibre, Jaume [2 ]
机构：
[1] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-09210170 Santo Andre, SP, Brazil
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2012年 / 22卷 / 06期
关键词：
Equilibrium point; periodic point; limit cycle; continuous piecewise; linear vector fields; Poincare map; BIFURCATION;
D O I：
10.1142/S0218127412501386
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a class of planar continuous piecewise linear vector fields with three zones. Using the Poincare map, we show that these systems admit always a unique limit cycle, which is hyperbolic.
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页数：10
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