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| Pàgina inicial > Articles > Articles publicats > On the polynomial integrability of a system motivated by the Riemann ellipsoid problem |
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) (Universidade Técnica de Lisboa. Departamento de Matemática)| Data: | 2016 |
| Resum: | 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. |
| Ajuts: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
| Nota: | Agraïments: The second author was supported by AGAUR grant PIV-DGR-2010 and by FCT through the project PTDC/MAT/117106/2010 and through CAMGSD, Lisbon. |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Matèria: | Complete integrability ; Euler-Poinsot systems ; Homogeneous differential systems ; Polynomial first integral ; Riemann ellipsoid problem |
| Publicat a: | ESAIM. Control, Optimisation and Calculus of Variations, Vol. 22 (2016) , p. 872-882, ISSN 1262-3377 |
11 p, 721.3 KB |
