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Interplay between couplings and common noise in phase synchronization: disagreement between global analysis and local stability characterization

We consider two coupled phase oscillators in the presence of proportional ('common') and independent white noises. The global synchronization properties of the system are analytically studied via the Fokker-Planck equation. When the 'effective coupling' is big compared to the common noises, the form

Analysis Nonlinear Sciences

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