Periodic Solutions of Continuous Third-Order Differential Equations with Piecewise Polynomial Nonlinearities

被引：0

作者：

Llibre, J. ^{[1
]}

Lopes, B. D. ^{[2
]}

de Moraes, J. R. ^{[3
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, Spain

[2] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-09210170 Santo Andre, SP, Brazil

[3] Univ Estadual Mato Grosso do Sul, Curso Matemat, BR-79804970 Dourados, MS, Brazil

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2020年 / 30卷 / 11期

基金：

欧盟地平线“2020”;

关键词：

Periodic solution; averaging method; third-order differential equation; piecewise differential equation; LIMIT-CYCLES; SYSTEMS;

D O I：

10.1142/S0218127420501588

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider third-order autonomous continuous piecewise differential equations in the variable x. For such differential equations with nonlinearities of the form x(m), we investigate their periodic solutions using the averaging theory. We remark that since the differential system is only continuous we cannot apply to it the classical averaging theory, that needs that the differential system be at least of class C-2.

引用

页数：7

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