Models of elliptical galaxies in 1-1-1 resonance and their normalization: the 3D hénon and heiles system
Date
1997
Authors
Ferrer, S.
Viartola, A.
San Juan Díaz, Juan Félix
Director
Publisher
Springer Nature
Acceso abierto / Sarbide irekia
Contribución a congreso / Biltzarrerako ekarpena
Versión aceptada / Onetsi den bertsioa
Project identifier
Impacto
Abstract
In this Note we study perturbed isotropic harmonic oscillators in 1- 1-1 resonance, which is one of the typical cases of galactic potential models. We focus on cubic and quartic axial symmetric potentials giving explicitly their normal form. The 3D normalized Hénon and Heiles case, which requires to reach fourth order, is studied showing its relative equilibria and bifurcations.
Description
Keywords
Elliptical galaxies, Hénon and Hayles system
Department
Ingeniería Matemática e Informática / Matematika eta Informatika Ingeniaritza / Institute for Advanced Materials and Mathematics - INAMAT2
Faculty/School
Degree
Doctorate program
item.page.cita
Ferrer, S., Viartola, A., Palacián, J., Yanguas, P., San Juan, J. F. (1997). Models of elliptical galaxies in 1-1-1 resonance and their normalization: the 3D hénon and heiles system. In Kurzynska, K., Barlier, F., Seidelmann, P. K., Wytrzyszczak I. (Eds.), Dynamics and Astrometry of Natural and Artificial Celestial Bodies: Proceedings of IAU Colloquium 165 Poznan, Poland (pp. 425-430). Kluwer Academic Publishers. https://doi.org/10.1007/978-94-011-5534-2_60.
item.page.rights
© 1997 Springer Science+Business Media Dordrecht.
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