Fig. 4: Schematic of a symmetry-increasing bifurcation destroying clusters.
From: Between synchrony and turbulence: intricate hierarchies of coexistence patterns
Here, two equivalent variants of a 4 − 2 − 1 − 1 solution collide. The increase in attractor symmetry caused by the collision implies that any two oscillators which behaved equivalently in either of the variants must also behave equivalently in the resulting solution. Because the cluster of two contains different oscillators in the two variants, this cluster is necessarily destroyed. Nj denotes cluster sizes and j denotes the index of each oscillator.
