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Fully synchronous solutions and the synchronization phase transition for the finite-N Kuramoto model
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10.1063/1.4745197
/content/aip/journal/chaos/22/3/10.1063/1.4745197
http://aip.metastore.ingenta.com/content/aip/journal/chaos/22/3/10.1063/1.4745197
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

A numerical simulation of the probability of full synchrony in the Kuramoto model in the newly identified scaling.

Image of FIG. 2.
FIG. 2.

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.

Image of FIG. 3.
FIG. 3.

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.

Image of FIG. 4.
FIG. 4.

The image of the cube under the frequency map. The image is a curvilinear rhombic dodecahedron in .

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/content/aip/journal/chaos/22/3/10.1063/1.4745197
2012-08-28
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Fully synchronous solutions and the synchronization phase transition for the finite-N Kuramoto model
http://aip.metastore.ingenta.com/content/aip/journal/chaos/22/3/10.1063/1.4745197
10.1063/1.4745197
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