In the Kuramoto-Sakaguchi model with uniform natural frequencies, the transition from disorder to partial synchrony remains discontinuous in the thermodynamic limit, though the jump size becomes exponentially small near a phase shift of π/2.
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A path-integral DMFT for periodic phase oscillators yields a self-consistent single-oscillator stochastic equation that handles arbitrary 2π-periodic couplings and predicts synchronization thresholds from iPRC-fitted neuron data.
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Discontinuous transition to synchrony in the Kuramoto-Sakaguchi model with a uniform distribution of frequencies
In the Kuramoto-Sakaguchi model with uniform natural frequencies, the transition from disorder to partial synchrony remains discontinuous in the thermodynamic limit, though the jump size becomes exponentially small near a phase shift of π/2.
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Compact Dynamical Mean-Field Theory of Oscillator Networks
A path-integral DMFT for periodic phase oscillators yields a self-consistent single-oscillator stochastic equation that handles arbitrary 2π-periodic couplings and predicts synchronization thresholds from iPRC-fitted neuron data.