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Synchronization, which is caused by mutual coupling, and turnover, which isthe replacement of old components with new ones, are observed in various opensystems consisting of many components. Although these phenomena can co-occur,the interplay of coupling and turnover has been overlooked. Here, we analyzecoupled phase oscillators with turnover and reveal that two distincttransitions occur, depending on both coupling and turnover: desynchronizationand what we name stochastic oscillation quenching. Importantly, the latterrequires both the turnover and coupling to be sufficiently intense.

Two distinct transitions in a population of coupled oscillators with turnover: desynchronization and stochastic oscillation quenching