Integrability conditions of a resonant saddle in generalized Liénard-like complex polynomial differential systems
We consider a complex differential system with a resonant saddle at the origin. We compute the resonant saddle quantities and using Gröbner bases we find the integrability conditions for such systems up to a certain degree. We also establish a conjecture about the integrability conditions for such s...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:182512 |
| Acceso en línea: | https://ddd.uab.cat/record/182512 https://dx.doi.org/urn:doi:10.1016/j.chaos.2017.01.014 |
| Access Level: | acceso abierto |
| Palabra clave: | Analytic integrability Center problem Polynomial complex differential systems |
| Sumario: | We consider a complex differential system with a resonant saddle at the origin. We compute the resonant saddle quantities and using Gröbner bases we find the integrability conditions for such systems up to a certain degree. We also establish a conjecture about the integrability conditions for such systems when they have arbitrary degree. |
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