Devil's staircases in loop networks with symmetry locking

In this work we analyze symmetry locking phenomena in loop networks with periodically switchedconnections. Exploiting the spatio-temporal symmetry properties of the system, we compute the rotation numbers oflocked periodic regimes for which symmetry locking occurs. As a bifurcation parameter is varied, we compute thecomplete Devil’s staircase reporting the symmetry of the locked periodic regimes.