Global Dynamics of a System Coming from the Study of a Static Star
We classify the global dynamics of a one-parameter family of planar quadratic polynomial differential systems which for some interval of values of its parameter describes the evolution of a static star. The characterization of their distinct topological phase portraits is done in the Poincaré disc....
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:299744 |
| Acceso en línea: | https://ddd.uab.cat/record/299744 https://dx.doi.org/urn:doi:10.1007/s12591-021-00588-2 |
| Access Level: | acceso abierto |
| Palabra clave: | Phase portraits Global dynamics Poincaré compactification Static star |
| Sumario: | We classify the global dynamics of a one-parameter family of planar quadratic polynomial differential systems which for some interval of values of its parameter describes the evolution of a static star. The characterization of their distinct topological phase portraits is done in the Poincaré disc. In this way we can describe the dynamics of these systems near infinity and to provide their global phase portrait. |
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