Ferrer, S.Viartola, A.Palacián Subiela, Jesús FranciscoYanguas Sayas, PatriciaSan Juan Díaz, Juan Félix2024-12-122024-12-121997Ferrer, 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_60.978-0-7923-4574-910.1007/978-94-011-5534-2_60https://academica-e.unavarra.es/handle/2454/52708In 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.application/pdfeng© 1997 Springer Science+Business Media Dordrecht.Elliptical galaxiesHénon and Hayles systeminfo:eu-repo/semantics/conferenceObject2024-12-12info:eu-repo/semantics/openAccess