A numerical simulation of the probability of full synchrony in the Kuramoto model in the newly identified scaling.
The frequency map. The magenta points correspond to the analogous points in the previous plot: the boundary of the region between the region of index zero and the region of index one corresponds to the boundary of the range. These points denote the last frequency vectors to exhibit synchrony. The green points denote similarly distinguished points on the boundary between the regions of index 1 and index 2. Also shown is the guaranteed stable region, which is tangent to the boundary at the magenta.
A plot of the stability regions for the three particle system. In the light beige central region the Jacobian is of index 0. In the surrounding pale blue region the Jacobian is of index 1. In the two dark blue islands the Jacobian is of index 2. The marked points depict special points. The six central magenta ones depict the last frequencies to be stabilized, while the six green ones represent points on the boundary between the regions of index 2 and index three.
The image of the cube under the frequency map. The image is a curvilinear rhombic dodecahedron in .
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