Limit Cycles in a Class of Continuous-Discontinuous Piecewise Linear Differential Systems with Three Zones

被引：0
作者：
Berbache, Aziza [1 ]
机构：
[1] Univ Mohamed El Bachir El Ibrahimi Bordj Bou Arrer, Dept Math, Math Anal & Applicat Lab, El Anasser 34265, Algeria
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2024年 / 34卷 / 15期
关键词：
Continuous-discontinuous planar piecewise linear system; crossing limit cycle; first integral; linear Hamiltonian system; Poincar & eacute; map;
D O I：
10.1142/S021812742450192X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the existence of limit cycles in piecewise linear systems separated by two parallel straight lines, where in one of these straight lines, the piecewise differential system is continuous, and in the other, it is discontinuous. Based on the methods of Poincar & eacute; map and first integral, we prove that these systems can have at most two limit cycles. Additionally, taking into account the type of singular points in the zones, we present examples with one or two limit cycles for all possible combinations.
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页数：25
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