Global phase portraits of quadratic systems with a complex ellipse as invariant algebraic curve
In this paper we study a new class of quadratic systems and classify all its phase portraits. More precisely, we characterize the class of all quadratic polynomial differential systems in the plane having a complex ellipse x^2 y^2 1=0 as invariant algebraic curve. We provide all the different topolo...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:199331 |
| Acceso en línea: | https://ddd.uab.cat/record/199331 https://dx.doi.org/urn:doi:10.1007/s10114-017-5478-y |
| Access Level: | acceso abierto |
| Palabra clave: | Complex ellipse Invariant algebraic curves Phase portrait Quadratic system |
| Sumario: | In this paper we study a new class of quadratic systems and classify all its phase portraits. More precisely, we characterize the class of all quadratic polynomial differential systems in the plane having a complex ellipse x^2 y^2 1=0 as invariant algebraic curve. We provide all the different topological phase portraits that this class exhibits in the Poincaré disc. |
|---|