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 z = i z + z z (A z^2 + B z z + C z^2 ), where A,B,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 p...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10459.1/58372 |
| Acceso en línea: | https://doi.org/10.1007/s00030-016-0388-8 http://hdl.handle.net/10459.1/58372 |
| Access Level: | acceso abierto |
| Palabra clave: | Center Polynomial vector fields Bautin ideal Cyclicity Limit cycle |
| Sumario: | In this paper we study the cyclicity of the centers of the quartic polynomial family written in complex notation as z = i z + z z (A z^2 + B z z + C z^2 ), where A,B,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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