Periodic orbits for real planar polynomial vectors fields of degree n having n invariant straight lines taking into account their multiplicities
We study the existence and non-existence of periodic orbits and limit cycles for planar polynomial differential systems of degree n having n real invariant straight lines taking into account their multiplicities. The polynomial differential systems with n=1,2,3 are completely characterized.
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:145347 |
| Acceso en línea: | https://ddd.uab.cat/record/145347 https://dx.doi.org/urn:doi:10.14232/ejqtde.2015.1.55 |
| Access Level: | acceso abierto |
| Palabra clave: | Invariant straight lines Limit cycles Periodic orbit Polynomial differential systems Polynomial vector fields |
| Sumario: | We study the existence and non-existence of periodic orbits and limit cycles for planar polynomial differential systems of degree n having n real invariant straight lines taking into account their multiplicities. The polynomial differential systems with n=1,2,3 are completely characterized. |
|---|