Zero-Hopf Bifurcation in a Generalized Genesio Differential Equation

被引：1

作者：

Diab, Zouhair ^{[1
]}

Guirao, Juan L. G. ^{[2
]}

Vera, Juan A. ^{[3
]}

机构：

[1] Larbi Tebessi Univ, Zouhair Diab Dept Math & Comp Sci, Tebessa 12002, Algeria

[2] Univ Politecn Cartagena, Dept Matemaca Aplicada & Estadist, Cartagena 30202, Region De Murci, Spain

[3] Univ Politecn Cartagena, Ctr Univ Def, Acad Gen Aire, Santiago De La Ribera 30720, Region De Murci, Spain

来源：

MATHEMATICS | 2021年 / 9卷 / 04期

关键词：

Zero-Hopf bifurcation; periodic solutions; ordinary differential equation;

D O I：

10.3390/math9040354

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of the present paper is to study the presence of bifurcations of zero-Hopf type at a generalized Genesio differential equation. More precisely, by transforming such differential equation in a first-order differential system in the three-dimensional space R-3, we are able to prove the existence of a zero-Hopf bifurcation from which periodic trajectories appear close to the equilibrium point located at the origin when the parameters a and c are zero and b is positive.

引用

页码：1 / 11

页数：11

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