New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree
The problem of distinguishing between a focus and a center is one of the classical problems in the qualitative theory of planar differential systems. In this paper, we provide a new family of centers of polynomial differential systems of arbitrary even degree. Moreover, we classify the global phase...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:204402 |
| Acceso en línea: | https://ddd.uab.cat/record/204402 https://dx.doi.org/urn:doi:10.1007/s10883-019-09432-x |
| Access Level: | acceso abierto |
| Palabra clave: | Poincaré compactification Center First integral Invariant algebraic curve |
| Sumario: | The problem of distinguishing between a focus and a center is one of the classical problems in the qualitative theory of planar differential systems. In this paper, we provide a new family of centers of polynomial differential systems of arbitrary even degree. Moreover, we classify the global phase portraits in the Poincaré disc of the centers of this family having degree 2, 4, and 6. |
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