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Hysteretic transitions in the Kuramoto model with inertia

Hysteretic transitions in the Kuramoto model with inertia

We report finite-size numerical investigations and mean-field analysis of a Kuramoto model with inertia for fully coupled and diluted systems. In particular, we examine, for a gaussian distribution of the frequencies, the transition from incoherence to coherence for increasingly large system size and inertia. For sufficiently large inertia the transition …