Liouvillian first integrals for generalized Liénard polynomial differential systems
We study the Liouvillian first integrals for the generalized Liénard polynomial differential systems of the form x' = y, y' = -g(x) - f(x)y, where g(x) and f(x) are arbitrary polynomials such that 2 ≤ deg g ≤ deg f.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150587 |
| Acceso en línea: | https://ddd.uab.cat/record/150587 https://dx.doi.org/urn:doi:10.1515/ans-2013-0404 |
| Access Level: | acceso abierto |
| Palabra clave: | Darboux polynomial Exponential factor Liouvillian first integral Generalized Liénard polynomial differential system |
| Sumario: | We study the Liouvillian first integrals for the generalized Liénard polynomial differential systems of the form x' = y, y' = -g(x) - f(x)y, where g(x) and f(x) are arbitrary polynomials such that 2 ≤ deg g ≤ deg f. |
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