Department of Information and Communication Technologies, Universitat Pompeu Fabra, 08018 Barcelona, Spain.
Phys Rev Lett. 2011 Jun 24;106(25):254101. doi: 10.1103/PhysRevLett.106.254101. Epub 2011 Jun 21.
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.
大型异质振荡器集合体通常由于相互作用而表现出集体同步。如果振荡器具有分布式自然频率和共同剪切（或非等时性），则从非相干到集体同步的转变已知会在足够大的耦合强度值下发生。然而，在这里，我们证明了剪切多样性不能通过导致同步的扩散耦合来平衡。我们为具有分布式剪切的 Kuramoto 模型提供了第一个分析结果，并表明如果剪切分布的宽度超过精确阈值，则集体同步的开始是不可能的。
