Phase synchronization and noise-induced resonance in systems of coupled oscillators

We study synchronization and noise-induced resonance phenomena in systems o f globally coupled oscillators. each possessing finite inertia. The behavio r of the order parameter, which measures the collective synchronization of the system, is investigated as the noise level and the coupling strength ar e varied, and hysteretic behavior is manifested. The power spectrum of the phase velocity is also examined and the quality factor as well as the respo nse function is obtained to reveal noise-induced resonance behavior.