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Pàgina inicial > Articles > Articles publicats > Darboux integrability of 2-dimensional Halmiltonian systems with homogeneous potentials of degree 3 |
Data: | 2014 |
Resum: | 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. |
Ajuts: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338 |
Nota: | 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. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Weight-homogenous differential systems ; Hamiltonian systems ; Polynomial integrability ; Rational integrability ; Darboux polynomials ; Exponential factors ; Darboux first integrals |
Publicat a: | Journal of Mathematical Physics, Vol. 55 (2014) , p. 33507, ISSN 1089-7658 |
Postprint 14 p, 706.0 KB |