Periodic Orbits Bifurcating from a Nonisolated Zero-Hopf Equilibrium of Three-Dimensional Differential Systems Revisited

被引：1

作者：

Candido, Murilo R. ^{[1
]}

Llibre, Jaume ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2018年 / 28卷 / 05期

关键词：

Averaging theory; periodic solutions; polynomial differential systems; zero-Hopf bifurcation; zero-Hopf equilibrium;

D O I：

10.1142/S021812741850058X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the periodic solutions bifurcating from a nonisolated zero-Hopf equilibrium in a polynomial differential system of degree two in R-3. More specifically, we use recent results of averaging theory to improve the conditions for the existence of one or two periodic solutions bifurcating from such a zero-Hopf equilibrium. This new result is applied for studying the periodic solutions of differential systems in R-3 having n-scroll chaotic attractors.

引用

页数：11

共 49 条

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