Invariant manifolds in barred galaxy simulations. III. Self-regulated weakening of strong spiral arms

Abstract

We investigated the origin of the weakening of strong spiral arms in barred galaxies, seeking the physical mechanism responsible for the decline in the fraction of manifold-trapped particles over time. We reconstructed the gravitational potential of a fully self-consistent N-body simulation of a barred galaxy using AGAMA, computed the Lagrangian points, and quantified how their spiral-induced angular displacement affects the geometry of the invariant manifolds and the associated orbital flows. We find that sufficiently strong, self-gravitating spiral arms significantly reshape the gravitational potential of a barred galaxy, displacing the equilibrium points up to 20-50{\deg} from the bar major axis, where they are expected to lie in the standard invariant-manifold framework. This shift alters the configuration of the manifold branches and disrupts the coherent stellar flows that sustain the spiral structure. As the spiral weakens, the equilibrium points gradually return to their standard configuration, restoring the conditions for manifold-driven spiral arm formation on a timescale of ~200 Gyr. We show for the first time that invariant manifolds and the spiral structures they generate are coupled through a self-regulating feedback mechanism, allowing the spiral pattern to recur over time. Our results therefore indicate that, although barred galaxies may sustain spiral activity over long timescales, individual episodes of strong spiral arms are intrinsically transient.