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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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2019 |
| 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:10459.1/67895 |
| Acceso en línea: | https://doi.org/10.1007/s40879-018-0304-3 http://hdl.handle.net/10459.1/67895 |
| Access Level: | acceso abierto |
| Palabra clave: | Monodromic singularity Nilpotent center |
| Sumario: | 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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