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Wolfram Demonstrations Project
In a system of coupled oscillators, synchronization occurs when the oscillators spontaneously lock to a common frequency or phase. We study a system of n ≫ 1 phase oscillators placed on a circle with random initial positions and sinusoidal coupling with their k nearest neighbors on each side. When all of the oscillators are identical, the final state of the system is either full phase-locking (in which all oscillators have the same relative phase) or a splay state characterized by a windingdoi:10.3840/002481 fatcat:nu23rjddxvhhnclyozkwqt34pu