80 citations · 460 across the 14 of their papers we have counts for
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Robustness of Synchrony in Complex Networks and Generalized Kirchhoff Indices
Melvyn Tyloo, Tommaso Coletta, Philippe Jacquod
In network theory, a question of prime importance is how to assess network vulnerability in a fast and reliable manner. With this issue in mind, we investigate the response to para…
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…
Multistability of Phase-Locking and Topological Winding Numbers in Locally Coupled Kuramoto Models on Single-Loop Networks
Robin Delabays, Tommaso Coletta, Philippe Jacquod
Determining the number of stable phase-locked solutions for locally coupled Kuramoto models is a long-standing mathematical problem with important implications in biology, condense…
Linear Stability and the Braess Paradox in Coupled Oscillators Networks and Electric Power Grids
Tommaso Coletta, Philippe Jacquod
We investigate the influence that adding a new coupling has on the linear stability of the synchronous state in coupled oscillators networks. Using a simple model we show that, dep…