On the polynomial integrability of a system motivated by the Riemann ellipsoid problem
We consider differential systems obtained by coupling two Euler-Poinsot systems. The motivation to consider such systems can be traced back to the Riemann ellipsoid problem. We provide new cases for which these systems are completely integrable. We also prove that these systems either are completely...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:169446 |
| Acceso en línea: | https://ddd.uab.cat/record/169446 https://dx.doi.org/urn:doi:10.1051/cocv/2015035 |
| Access Level: | acceso abierto |
| Palabra clave: | Complete integrability Euler-Poinsot systems Homogeneous differential systems Polynomial first integral Riemann ellipsoid problem |
| Sumario: | We consider differential systems obtained by coupling two Euler-Poinsot systems. The motivation to consider such systems can be traced back to the Riemann ellipsoid problem. We provide new cases for which these systems are completely integrable. We also prove that these systems either are completely integrable or have at most four functionally independent analytic first integrals. |
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