Hopf bifurcation of three-dimensional systems with parameters
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.
Authors
- Maoan Han (ORCID: https://orcid.org/0000-0001-8792-1256)
- Ai Ke (ORCID: https://orcid.org/0000-0003-2981-8300)
Institutions
- Zhejiang Normal University (CN)
- Donghua University (CN)
Publication Details
- Journal
- Journal of Differential Equations
- Published
- 2025-05-28
- DOI
- https://doi.org/10.1016/j.jde.2025.113463
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Zhejiang Normal University
- National Key Research and Development Program of China