On the birth of limit cycles for non-smooth dynamical systems

被引：92

作者：

Llibre, Jaume ^{[1
]}

Novaes, Douglas D. ^{[1
,2
]}

Teixeira, Marco A. ^{[2
]}

机构：

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

[2] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP, Brazil

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2015年 / 139卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

Periodic solution; Averaging theory; Discontinuous differential system;

D O I：

10.1016/j.bulsci.2014.08.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems. In fact, overall results are presented to ensure the existence of limit cycles of such systems These results may represent new insights in averaging, in particular its relation with non-smooth dynamical systems theory. An application is presented in careful detail. (C) 2014 Elsevier Masson SAS. All rights reserved.

引用

页码：229 / 244

页数：16

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