Figure 18. Representative phase lag maps for motifs with other connection asymmetry types, Part 2.

Motifs with two connections strengthened according to (A) and weakened (B), resulting in qualitatively similar maps. Due to the broken rotational symmetries, the maps both no longer possess FPs for the clockwise and counter-clockwise traveling waves. (C) The phase lag maps for and for . Two large attractor basins belong to the stable (blue) FP in the middle for the rhythm and the stable (green) fixed point at for rhythm. These co-exist with a smaller basin of the red fixed point at . (D) Further increasing to in motif (A), or decreasing to in motif (B) makes the blue and green FPs vanish through consecutive saddle-node bifurcations, thus resulting in the appearance of the stable invariant curve wrapping around the torus. The invariant circle repeatedly traverses throughout the “ghosts” of the four vanished FPs. Note the shrinking basin of the red FP at with decreasing in motif (A).