Center conditions for polynomial Liénard systems
In this paper we study the center problem for polynomial Liénard systems of degree n with damping of degree n. Computing the focal values we find the center conditions for such systems for n=5 and using modular arithmetics and Gröbner bases for n=6. We also give some center conditions for polynomial...
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat de Lleida (UdL) |
| Repositorio: | Repositori Obert UdL |
| OAI Identifier: | oai:repositori.udl.cat:10459.1/62957 |
| Acceso en línea: | https://doi.org/10.1007/s12346-016-0202-3 http://hdl.handle.net/10459.1/62957 |
| Access Level: | acceso abierto |
| Palabra clave: | Center problem Analytic integrability Polynomial Liénard differential systems |
| Sumario: | In this paper we study the center problem for polynomial Liénard systems of degree n with damping of degree n. Computing the focal values we find the center conditions for such systems for n=5 and using modular arithmetics and Gröbner bases for n=6. We also give some center conditions for polynomial Liénard systems of degree n with damping of degree n. |
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