On the periodic solutions of the Michelson continuous and discontinuous piecewise linear differential system

被引：1
|
作者：
Llibre, Jaume [1 ]
Oliveira, Regilene [2 ]
Rodrigues, Camila Ap B. [2 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona 08193, Catalonia, Spain
[2] Univ Sao Paulo, ICMC, Dept Matemat, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP, Brazil
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
Continuous piecewise linear differential systems; Discontinuous piecewise linear differential systems; Michelson system; Averaging theory; Periodic solutions; BIFURCATIONS; ORBITS;
D O I：
10.1007/s40314-016-0413-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Applying new results from the averaging theory for continuous and discontinuous differential systems, we study the periodic solutions of two distinct versions of the Michelson differential system: a Michelson continuous piecewise linear differential system and a Michelson discontinuous piecewise linear differential system. The tools here used can be applied to general nonsmooth differential systems.
引用
收藏
页码：1550 / 1561
页数：12
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