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 recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/122773 |
| Acceso en línea: | https://hdl.handle.net/2117/122773 https://dx.doi.org/10.1007/s10884-018-9672-0 |
| Access Level: | acceso abierto |
| Palabra clave: | Differential equations Center-focus problem Polynomial planar differential system Uniform isochronous centers Equacions diferencials ordinàries Classificació AMS::34 Ordinary differential equations::34C Qualitative theory Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions diferencials ordinàries |
| Sumario: | 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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