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Página principal > Artículos > Artículos publicados > Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential |
Fecha: | 2019 |
Resumen: | We study the global dynamics of the completely integrable Armbruster-Guckenheimer-Kim galactic potential. In these cases this system has two first integrals H1 and H2 independent and in involution. Let Ih1 and Ih2 be the set of points of the phase space on which H1 and H2 take the values h1 and h2, respectively. The sets Ih1h2=Ih1∩Ih2 are invariant by the dynamics. We characterize the global flow on these sets and we describe the foliation of the phase space by the invariant sets Ih1h2. |
Ayudas: | Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911 |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Armbruster-Guckenheimer-Kim galactic potential ; Invariant manifolds ; Complete integrability |
Publicado en: | Astrophysics and Space Science. An International Journal of Astronomy, Astrophysics and Space Science, Vol. 364, Issue 8 (August 2019) , art. 130, ISSN 1572-946X |
Postprint 12 p, 828.1 KB |