Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals

被引：9
作者：
Llibre, Jaume [1 ]
Teixeira, Marco Antonio [2 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[2] Univ Estadual Campinas, Dept Matemat, BR-13083970 Campinas, SP, Brazil
来源：
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2018年 / 12卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Periodic solutions; Periodic orbits; Continuous piecewise linear differential systems; First integrals; Discontinuous piecewise differential systems;
D O I：
10.1007/s40863-017-0064-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our main concern is to discuss the existence of periodic orbits for certain piecewise linear differential systems in R-n, where the discontinuity set is a hyper-surface Sigma. Using the fact that every linear differential system is always completely integrable, we illustrate for two piecewise linear differential systems, one in R-3 and the other in R-4, how to study analytically their periodic solutions.
引用
收藏
页码：121 / 135
页数：15
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