Darboux integrability of 2-dimensional Halmiltonian systems with homogeneous potentials of degree 3
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date:	2014
Abstract:	We provide a characterization of all Hamiltonian systems of the form H = (p21 + p22)/2 + V (q1, q2) where V is a homogenous polynomial of degree 3 which are completely integrable with Darboux first integrals.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338
Note:	Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundação para a Ciência e a Tecnologia within Project No. PTDC/MAT/117106/2010 and by CAMGSD.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Weight-homogenous differential systems ; Hamiltonian systems ; Polynomial integrability ; Rational integrability ; Darboux polynomials ; Exponential factors ; Darboux first integrals
Published in:	Journal of Mathematical Physics, Vol. 55 (2014) , p. 33507, ISSN 1089-7658

DOI: 10.1063/1.4868701

Postprint 14 p, 706.0 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles