On the polynomial integrability of a system motivated by the Riemann ellipsoid problem
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date:	2016
Abstract:	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.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Complete integrability ; Euler-Poinsot systems ; Homogeneous differential systems ; Polynomial first integral ; Riemann ellipsoid problem
Published in:	ESAIM. Control, Optimisation and Calculus of Variations, Vol. 22 (2016) , p. 872-882, ISSN 1262-3377

DOI: 10.1051/cocv/2015035

Postprint 11 p, 721.3 KB

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