Are spiral arms in N-body simulations triggered by invariant manifolds?

In this Master's project, we study if spiral arm structures observed in N-body simulations can be triggered or not by invariant manifolds. In this study, we compute the global galactic potential by using the Agama software (Euegene Vasiliev 2018). From the potential, and following our previous work (Romero-Gómez et al. 2006), we plan to determine how many individual stars inside simulated galactic disks (Roca-Fàbrega et al. 2013) are found inside invariant manifolds orbits.