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.
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页数：11
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