On the Number of Limit Cycles in Two Classes of Polynomial Differential Systems
This paper deals with two classes of polynomial differential systems that are generalized rigid systems, i.e. differential systems whose orbits rotate with a constant angular velocity. We give bounds for the maximum number of limit cycles of such polynomial differential systems provided by the averaging theory of first-order.
Authors
- Jaume Llibre (ORCID: https://orcid.org/0000-0002-9511-5999)
- Yiying Bao
- Shimin Li
- Yulin Zhao (ORCID: https://orcid.org/0000-0002-4179-2409)
Institutions
- Universitat Autònoma de Barcelona (ES)
- Hangzhou Normal University (CN)
Publication Details
- Journal
- International Journal of Bifurcation and Chaos
- Published
- 2025-03-25
- DOI
- https://doi.org/10.1142/s0218127425500701
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Agencia Nacional de Investigación y Desarrollo
- Agència de Gestió d'Ajuts Universitaris i de Recerca
- Basic and Applied Basic Research Foundation of Guangdong Province