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 th...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:313606 |
| Acceso en línea: | https://ddd.uab.cat/record/313606 https://dx.doi.org/urn:doi:10.1063/5.0220041 |
| Access Level: | acceso abierto |
| Palabra clave: | Kolmogorov differential system Rational first integral Phase portrait |
| Sumario: | 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. |
|---|