Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three
We classify all global phase portraits in the Poincaré disc of the cubic polynomial Kolmogorov differential systems having a well-defined rational first integral of degree three at the origin. For such differential systems there are exactly two different global phase portraits up to a reversal of the sense of their orbits.
Authors
- Jaume Llibre (ORCID: https://orcid.org/0000-0002-9511-5999)
- Renhao Tian (ORCID: https://orcid.org/0009-0006-7143-2910)
Institutions
- Universitat Autònoma de Barcelona (ES)
Publication Details
- Journal
- Journal of Mathematical Physics
- Published
- 2025-05-01
- DOI
- https://doi.org/10.1063/5.0220041
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Sun Yat-sen University
- Generalitat de Catalunya
- Agència de Gestió d'Ajuts Universitaris i de Recerca
- Agencia Estatal de Investigación