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On the integrability of a three-dimensional cored galactic Hamiltonian
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

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

DOI: 10.1016/j.aml.2014.10.016


Postprint
7 p, 259.7 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

 Record created 2016-01-12, last modified 2022-02-13



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