Orbital and escape dynamics in barred galaxies -- IV. Heteroclinic connections

Abstract

Continuing the series of papers on a new model for a barred galaxy, we investigate the heteroclinic connections between the two normally hyperbolic invariant manifolds sitting over the two index-1 saddle points of the effective potential. The heteroclinic trajectories and the nearby periodic orbits of similar shape populate the bar region of the galaxy and a neighbourhood of its nucleus. Thereby we see a direct relation between the important structures of the interior region of the galaxy and the projection of the heteroclinic tangle into the position space. As a side result, we obtain a detailed picture of the primary heteroclinic intersection surface in the phase space.

Published in Monthly Notices of the Royal Astronomical Society (MNRAS) journal

References in corpus (6)

• The formation of spiral arms and rings in barred galaxies
• On the origin of rR_1 ring structures in barred galaxies
• The coalescence of invariant manifolds and the spiral structure of barred galaxies
• Invariant manifolds and the response of spiral arms in barred galaxies
• Orbital and escape dynamics in barred galaxies - II. The 3D system: Exploring the role of the normally hyperbolic invariant manifolds
• Orbital and escape dynamics in barred galaxies - III. The 3D system: Correlations between the basins of escape and the NHIMs