Two Limit Cycles in Lienard Piecewise Linear Differential Systems

被引：15
|
作者：
Llibre, Jaume [1 ]
Ponce, Enrique [2 ]
Valls, Claudia [3 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[2] Escuela Tecn Super Ingn, Dept Matemat Aplicada, Avda Descubrimientos, Seville 41092, Spain
[3] Univ Lisbon, Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal
来源：
JOURNAL OF NONLINEAR SCIENCE | 2019年 / 29卷 / 04期
基金：
欧盟地平线“2020”;
关键词：
Nonlinear control systems; Periodic orbits; Limit cycles; Lienard piecewise linear differential systems; BIFURCATION SETS; UNIQUENESS; EXISTENCE; NONEXISTENCE; OSCILLATIONS;
D O I：
10.1007/s00332-018-9523-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some techniques for studying the existence of limit cycles for smooth differential systems are extended to continuous piecewise linear differential systems. Rigorous new results are provided on the existence of two limit cycles surrounding the equilibrium point at the origin for systems with three zones separated by two parallel straight lines without symmetry. As a relevant application, it is shown the existence of bistable regimes in an asymmetric memristor-based electronic oscillator.
引用
收藏
页码：1499 / 1522
页数：24
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