DETECTING PERIODIC ORBITS IN SOME 3D CHAOTIC QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS

被引：5

作者：

de Carvalho, Tiago ^{[1
]}

Euzebio, Rodrigo Donizete ^{[2
]}

Llibre, Jaume ^{[3
]}

Tonon, Durval Jose ^{[4
]}

机构：

[1] UNESP, Dept Matemat, Fac Ciencias, BR-17033360 Bauru, SP, Brazil

[2] IMECC UNICAMP, Dept Matemat, BR-13083970 Campinas, SP, Brazil

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

[4] Univ Fed Goias, IME, BR-74001970 Goiania, Go, Brazil

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Periodic solutions; averaging theory; quadratic polynomial differential system; chaotic systems; limit cycles; FLOWS;

D O I：

10.3934/dcdsb.2016.21.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the averaging theory we study the periodic solutions and their linear stability of the 3-dimensional chaotic quadratic polynomial differential systems without equilibria studied in [3]. All these differential systems depend only on one-parameter.

引用

页码：1 / 11

页数：11

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