Periodic solutions for a four-dimensional hyperchaotic system

被引：6
|
作者：
Yang, Jing [1 ]
Wei, Zhouchao [1 ,2 ]
Moroz, Irene [3 ]
机构：
[1] China Univ Geosci, Sch Math & Phys, Wuhan, Peoples R China
[2] China Univ Geosci, Zhejiang Inst, Hangzhou, Peoples R China
[3] Univ Oxford, Math Inst, Oxford, England
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Hyperchaotic system; Zero-Hopf bifurcation; Periodic solution; Averaging theory; ZERO-HOPF-BIFURCATION; EXISTENCE; DYNAMICS;
D O I：
10.1186/s13662-020-02647-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show a zero-Hopf bifurcation in a four-dimensional smooth quadratic autonomous hyperchaotic system. Using averaging theory, we prove the existence of periodic orbits bifurcating from the zero-Hopf equilibrium located at the origin of the hyperchaotic system, and the stability conditions of periodic solutions are given.
引用
收藏
页数：9
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