On periodic orbits of polynomial relay systems

被引：0

作者：

Jacquemard, Alain ^{[1
]}

Pereira, Weber Flavio

机构：

[1] Univ Bourgogne, Inst Math Bourgogne, CNRS, UMR 5584, Dijon, France

[2] Univ Estadual Campinas, Inst Matemat & Estatist, Campinas, SP, Brazil

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2007年 / 17卷 / 02期

关键词：

discontinuous differential equations; periodic orbits; semi-algebraic sets;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an algorithm which determines global conditions for a class of discontinuous vector fields in 4D (called polynomial relay systems) to have periodic orbits. We present explicit results relying on constructive proofs, which involve classical Effective Algebraic Geometry algorithms.

引用

页码：331 / 347

页数：17

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