Center cyclicity of a family of quartic polynomial differential system
In this paper we study the cyclicity of the centers of the quartic polynomial family written in complex notation as \[ = i z z (A z^2 B z C ^2 ),\] where A,B,C C. We give an upper bound for the cyclicity of any nonlinear center at the origin when we perturb it inside this family. Moreover we prove t...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:169476 |
| Acceso en línea: | https://ddd.uab.cat/record/169476 https://dx.doi.org/urn:doi:10.1007/s00030-016-0388-8 |
| Access Level: | acceso abierto |
| Palabra clave: | Algebraic limit cycles Bautin ideal Center Cyclicity Polynomial vector fields |
| Sumario: | In this paper we study the cyclicity of the centers of the quartic polynomial family written in complex notation as \[ = i z z (A z^2 B z C ^2 ),\] where A,B,C C. We give an upper bound for the cyclicity of any nonlinear center at the origin when we perturb it inside this family. Moreover we prove that this upper bound is sharp. |
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