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

## TL;DR

This paper studies the complex orbital structures in barred galaxies, focusing on heteroclinic connections between invariant manifolds, revealing their role in shaping the galaxy's bar and nucleus regions.

## Contribution

It provides a detailed analysis of heteroclinic connections and their relation to galaxy structures, extending previous models of barred galaxy dynamics.

## Key findings

- Identification of heteroclinic trajectories in galaxy models
- Relation between heteroclinic structures and galaxy interior regions
- Detailed mapping of heteroclinic intersection surfaces

## 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.