Work

Hopf bifurcation of three-dimensional systems with parameters

Year: 2025

Type: article

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.

Source: Journal of Differential Equations

DOI: 10.1016/j.jde.2025.113463

Authors: Ai Ke, Maoan Han

Institutions: Donghua University, Zhejiang Normal University

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: Zhejiang Normal University, National Key Research and Development Program of China