Stability and Zero-Hopf Bifurcation Analysis of the Lorenz-Stenflo System Using Symbolic Methods

被引：0
|
作者：
Huang, Bo [1 ]
Li, Xiaoliang [2 ]
Niu, Wei [3 ,4 ]
Xie, Shaofen [5 ]
机构：
[1] Beihang Univ, LMIB Sch Math Sci, Beijing 100191, Peoples R China
[2] Guangzhou Coll Technol & Business, Sch Business, Guangzhou 510850, Peoples R China
[3] Beihang Univ, Ecole Cent Pekin, Beijing 100191, Peoples R China
[4] Beihang Hangzhou Innovat Inst Yuhang, Hangzhou 310051, Peoples R China
[5] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, CASC 2023 | 2023年 / 14139卷
基金：
中国国家自然科学基金; 北京市自然科学基金;
关键词：
Averaging method; Limit cycle; Symbolic computation; Stability; Zero-Hopf bifurcation; ATTRACTORS;
D O I：
10.1007/978-3-031-41724-5_10
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper deals with the stability and zero-Hopf bifurcation of the Lorenz-Stenflo system by using methods of symbolic computation. Stability conditions on the parameters of the system are derived by using methods of solving semi-algebraic systems. Using the method of algorithmic averaging, we provide sufficient conditions for the existence of one limit cycle bifurcating from a zero-Hopf equilibrium of the Lorenz-Stenflo system. Some examples are presented to verify the established results.
引用
收藏
页码：183 / 198
页数：16
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