Turbulence of nonlocally coupled oscillators in the Benjamin-Feir stable regime

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Abstract
The small-amplitude equation appropriate for self-oscillatory fields with nonlocal coupling is studied numerically in the Benjamin-Feir stable regime. Depending on the system size, two characteristic forms of turbulent behavior are observed. For relatively small system size L, the whole space splits into two domains with distinct dynamics, while for larger L the turbulent fluctuations become better characterized by spatial intermittency with power-law scaling.