剪切分集阻止集体同步
Shear diversity prevents collective synchronization
摘要：
异质振子的大集合经常由于相互作用而表现出集体同步。如果振子有分布的固有频率和共同的剪切（或非等时性），从非相干到集体同步的转变是已知的，发生在耦合强度足够大的值。然而，在这里，我们表明，剪切多样性不能抵消扩散耦合导致同步。我们提出的第一个分析结果与分布剪切的仓本模型，并表明集体同步的发病是不可能的，如果剪切分布的宽度超过一个精确的阈值。
英文摘要：
Large ensembles of heterogeneous oscillators often exhibit collective synchronization as a result of mutual interactions. If the oscillators have distributed natural frequencies and common shear (or nonisochronicity), the transition from incoherence to collective synchronization is known to occur at large enough values of the coupling strength. However, here we demonstrate that shear diversity cannot be counterbalanced by diffusive coupling leading to synchronization. We present the first analytical results for the Kuramoto model with distributed shear, and show that the onset of collective synchronization is impossible if the width of the shear distribution exceeds a precise threshold.
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