Cyclicity of Nilpotent Centers with Minimum Andreev Number
We consider polynomial families of real planar vector fields for which the origin is a monodromic nilpotent singularity having minimum Andree's number. There the centers are characterized by the existence of a formal inverse integrating factor. For such families we give, under some assumptions,...
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2019 |
| País: | España |
| Recursos: | Universitat de Lleida (UdL) |
| Repositorio: | Repositori Obert UdL |
| OAI Identifier: | oai:repositori.udl.cat:10459.1/67895 |
| Acesso em linha: | https://doi.org/10.1007/s40879-018-0304-3 http://hdl.handle.net/10459.1/67895 |
| Access Level: | acceso abierto |
| Palavra-chave: | Monodromic singularity Nilpotent center |
| Resumo: | We consider polynomial families of real planar vector fields for which the origin is a monodromic nilpotent singularity having minimum Andree's number. There the centers are characterized by the existence of a formal inverse integrating factor. For such families we give, under some assumptions, global bounds on the maximum number of limit cycles that can bifurcate from the singularity under perturbations within the family. |
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