Centers and uniform isochronous centers of planar polynomial differential systems
For planar polynomial vector fields of the form \[ (-y X(x,y)) x (x Y(x,y)) y, \] where X and Y start at least with terms of second order in the variables x and y, we determine necessary and sufficient conditions under which the origin is a center or a uniform isochronous centers.
| Autores: | , , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2018 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:199330 |
| Acesso em linha: | https://ddd.uab.cat/record/199330 https://dx.doi.org/urn:doi:10.1007/s10884-018-9672-0 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Center-focus problem Polynomial planar differential system Uniform isochronous centers |
| Resumo: | For planar polynomial vector fields of the form \[ (-y X(x,y)) x (x Y(x,y)) y, \] where X and Y start at least with terms of second order in the variables x and y, we determine necessary and sufficient conditions under which the origin is a center or a uniform isochronous centers. |
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