  Imposing defined spinning to a particle beam increases its stability against
perturbations from space charge~[Y.-L.~Cheon et al., Effects of beam spinning
on the fourth-order particle resonance of 3D bunched beams in high-intensity
linear accelerators, Phys. Rev. Accel. \& Beams {\bf 25}, 064002 (2022)]. In
order to fully explore this potential, proper matching of intense coupled beams
along regular lattices is mandatory. Herein, a novel procedure assuring matched
transport is described and benchmarked through simulations. The concept of
matched transport along periodic lattices has been extended from uncoupled
beams to those with considerable coupling between the two transverse degrees of
freedom. For coupled beams, matching means extension of cell-to-cell
periodicity from just transverse envelopes to the coupled beam moments and to
quantities being derived from these.
