Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry

被引：0
作者：
Jaume Llibre
Enrique Ponce
Clàudia Valls
机构：
[1] Universitat Autònoma de Barcelona,Departament de Matemàtiques
[2] Escuela Técnica Superior de Ingeniería,Departamento de Matemática Aplicada
[3] Universidade de Lisboa,Departamento de Matemática, Instituto Superior Técnico
来源：
Journal of Nonlinear Science | 2015年 / 25卷
关键词：
Nonlinear control systems; Periodic orbits; Limit cycles; Liénard piecewise linear differential systems; Primary 34C25; Secondary 34A34;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Some techniques for proving the existence and uniqueness of limit cycles for smooth differential systems are extended to continuous piecewise linear differential systems with two and three zones and no symmetry. For planar systems with three linearity zones, the existence of two limit cycles surrounding the only equilibrium point at the origin is rigorously shown for the first time. The usefulness of the achieved analytical results is illustrated by considering non-symmetric memristor-based electronic oscillators.
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页码：861 / 887
页数：26
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