Limit cycles bifurcating from planar polynomial quasi--homogeneous centers
In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7].
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2015 |
| 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:10459.1/49438 |
| Acceso en línea: | https://doi.org/10.1016/j.jde.2015.08.014 http://hdl.handle.net/10459.1/49438 |
| Access Level: | acceso abierto |
| Palabra clave: | Quasi-homogeneous polynomial differential equations Bifurcation of limit cycles Quasi-homogeneous centers Equacions diferencials ordinàries |
| Sumario: | In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7]. |
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