Home > Articles > Published articles > On the integrability of a three-dimensional cored galactic Hamiltonian |
Additional title: | On the complete meromorphic integrability of a three-dimensional cored galactic Hamiltonian |
Date: | 2015 |
Abstract: | We characterize when the three-dimensional cored galactic Hamiltonian system with Hamiltonian H =1/2(p2x + p2y +p2z/q)+s1 + x2 + y2 +z2/q, is completely meromorphically integrable when q ∈ [√ 0. 6, 1]. The key point for this characterization is to transform the non-polynomial cored Hamiltonian System into a polynomial one. |
Grants: | Ministerio de Economía y Competitividad MTM2008-03437 Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999 |
Note: | El títol de la versió pre-print de l'article és: On the complete meromorphic integrability of a three-dimensional cored galactic Hamiltonian |
Note: | Agraïments: The first author is partially supported by FEDER-UNAB10-4E-378, and a CAPES grant number 88881.030454/2013-01 from the program CSF-PVE. The second author is supported by Portuguese National Funds through FCT-Fundaçâo para a Ciência e a Tecnologia within the projects PTDC/MAT/117106/2010 and PEst-OE/EEI/LA0009/2013 (CAMGSD). |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Meromorphic first integrals ; Three-dimensional cored galactic Hamiltonian |
Published in: | Applied mathematics letters, Vol. 41 (2015) , p. 23-27, ISSN 0893-9659 |
Postprint 7 p, 259.7 KB |