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

页码：183 / 198

页数：16

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