Global dynamics of the integrable Armbruster-Guckenheimer-Kim galactic potential
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)

Date:	2019
Abstract:	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.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Armbruster-Guckenheimer-Kim galactic potential ; Invariant manifolds ; Complete integrability
Published in:	Astrophysics and Space Science. An International Journal of Astronomy, Astrophysics and Space Science, Vol. 364, Issue 8 (August 2019) , art. 130, ISSN 1572-946X

DOI: 10.1007/s10509-019-3624-y

Postprint 12 p, 828.1 KB

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