Limit Cycles for Discontinuous Planar Piecewise Linear Differential Systems Separated by an Algebraic Curve

被引：23

作者：

Llibre, Jaume ^{[1
]}

Zhang, Xiang ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Barcelona, Spain

[2] Shanghai Jiao Tong Univ, Sch Math Sci, Key Lab Sci & Engn Comp, Minist Educ, Shanghai 200240, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2019年 / 29卷 / 02期

关键词：

Limit cycle; discontinuous piecewise linear differential systems; discontinuity with an algebraic curve; BIFURCATIONS; NUMBER;

D O I：

10.1142/S0218127419500172

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study how to change the maximum number of limit cycles of the discontinuous piecewise linear differential systems with only two pieces in function of the degree of the discontinuity of the algebraic curve between the two linear differential systems. These discontinuous differential systems appear frequently in applied sciences.

引用

页数：17

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