Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree -2
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mahdi, Adam (University of North Carolina at Charlotte. Mathematics Department)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date:	2011
Abstract:	We characterize the analytic integrability of Hamiltonian systems with Hamiltonian H = 1/ 2 2∑ i=1 p 2 i + V (q1, q2), having homogeneous potential V (q1, q2) of degree −2.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The third author is partially supported by FCT through CAMGDS, Lisbon.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Natural Hamiltonian systems with 2-degrees of freedom ; Homogeneous polynomial potential
Published in:	Physics Letters. A, Vol. 375 (2011) , p. 1845-1849, ISSN 0375-9601

DOI: 10.1016/j.physleta.2011.03.042

Postprint 9 p, 309.3 KB

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