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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| Formato: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:145282 |
| Acesso em linha: | https://ddd.uab.cat/record/145282 https://dx.doi.org/urn:doi:10.1016/j.jde.2015.08.014 |
| Access Level: | acceso abierto |
| Palavra-chave: | Bifurcation of limit cycles Quasi-homogeneous centers Quasi-homogeneous polynomial differential equations |
| Resumo: | 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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