2006/03/21 by Cinzia Belmonte, Dino Boccaletti, Giuseppe Pucacco
Mathematics · Physics and Astronomy · #Nonlinear Waves and Solitons #Numerical methods for differential equations #Quantum chaos and dynamical systems #astro-ph #nlin.CD
paper · pdf · doi:10.1007/s10569-006-9015-z
20 pages, accepted for publication on Celestial Mechanics and Dynamical Astronomy
arxiv created 2006/03/21 · openalex publication_date 2006/08/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the dynamics in a galactic potential with two reflection symmetries. The phase-space structure of the real system is approximated with a resonant detuned normal form constructed with the method based on the Lie transform. Attention is focused on the stability properties of the axial periodic orbits that play an important role in galactic models. Using energy and ellipticity as parameters, we find analytical expressions of bifurcations and compare them with numerical results available in the literature.