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Repulsively coupled Kuramoto-Sakaguchi phase oscillators ensemble subject to common noise

Repulsively coupled Kuramoto-Sakaguchi phase oscillators ensemble subject to common noise

We consider the Kuramoto-Sakaguchi model of identical coupled phase oscillators with a common noisy forcing. While common noise always tends to synchronize the oscillators, a strong repulsive coupling prevents the fully synchronous state and leads to a nontrivial distribution of oscillator phases. In previous numerical simulations, the formation of stable …