Invariant manifolds has been the research topic of my PhD thesis and I have a series of publications:
On general barred galactic systems:
The origin of rR1 ring structures in barred galaxies
The formation of spiral arms and rings in barred galaxies
Series of papers: Rings and spirals in barred galaxies: I,II,III
On the Milky Way:
Modelling the inner disc of the Milky Way with manifolds - I. A first step
Relating manifolds with warped discs:
Warp evidence in precessing galactic bar models
PhD thesis:
thesis_Romero.pdfthesis_Romero.pdf