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Finite Size Scaling in the Kuramoto Model
Tommaso Coletta, Robin Delabays, Philippe Jacquod
We investigate the scaling properties of the order parameter and the largest nonvanishing Lyapunov exponent for the fully locked state in the Kuramoto model with a finite number $N…
Multistability of Phase-Locking in Equal-Frequency Kuramoto Models on Planar Graphs
Robin Delabays, Tommaso Coletta, Philippe Jacquod
The number of stable fixed points of locally coupled Kuramoto models depends on the topology of the network on which the model is defined. It has been shown that cycl…
Topologically Protected Loop Flows in High Voltage AC Power Grids
T. Coletta, R. Delabays, I. Adagideli +1
Geographical features such as mountain ranges or big lakes and inland seas often result in large closed loops in high voltage AC power grids. Sizable circulating power flows have b…