Center problem in the center manifold for quadratic differential systems in R^3
Using tools of computer algebra based on the Gröbner basis theory we derive conditions for the existence of a center on a local center manifold for fifteen seven-parameter families of quadratic systems on R 3. To obtain the results we use modular arithmetics.
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Recursos: | Universitat de Lleida (UdL) |
| Repositorio: | Repositori Obert UdL |
| OAI Identifier: | oai:repositori.udl.cat:10459.1/58392 |
| Acesso em linha: | https://doi.org/10.1016/j.jsc.2015.04.001 http://hdl.handle.net/10459.1/58392 |
| Access Level: | acceso abierto |
| Palavra-chave: | Center–focus problem Center manifolds First integrals Modular arithmetics Grobner basis Matemàtica Mathematics |
| Resumo: | Using tools of computer algebra based on the Gröbner basis theory we derive conditions for the existence of a center on a local center manifold for fifteen seven-parameter families of quadratic systems on R 3. To obtain the results we use modular arithmetics. |
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