Models of Elliptical Galaxies in 1-1-1 Resonance and their Normalization: the 3D Hénon-Heiles System
- Ferrer, S.
- Palacián, J.
- San Juan Díaz, Juan Félix
- Yanguas Sayas, Patricia
- Viartola, A.
Editorial: Kluwer Academic Publishers
ISBN: 978-94-010-6330-2
Any de publicació: 1997
Pàgines: 425-430
Tipus: Capítol de llibre
Resum
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 Henon and Heiles case, which requires to reach fourth order, is studied showing its relative equilibria and bifurcations.