Hopf bifurcation of three-dimensional systems with parameters

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-05-28 DOI:10.1016/j.jde.2025.113463

Ai Ke , Maoan Han

引用次数: 0

Abstract

In this paper, we study Hopf bifurcation of limit cycles for a class of three-dimensional systems with multiple parameters. We develop two methods to determine the number of limit cycles near the origin. We also provide two application examples, obtaining some new results on the number of limit cycles in Hopf bifurcation.

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三维参数系统的Hopf分岔

研究了一类多参数三维系统极限环的Hopf分岔问题。我们提出了两种确定原点附近极限环数的方法。给出了两个应用实例，得到了Hopf分岔中极限环数的一些新结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics