标题： 噪声与耦合在相位振子异质集合中的相互作用 显示英文标题

标题： Interplay of noise and coupling in heterogeneous ensembles of phase oscillators

摘要： 我们研究噪声对一组耦合相位振荡器集体动力学的影响，这些振荡器的自然频率都相同，但它们的耦合强度在整个集合中并不相同。 噪声的强度也可以是异质的，代表个体对外部波动响应的多样性。 我们表明，由噪声引起的去同步化相变可能被完全抑制，即使对于任意大的噪声强度，只要耦合强度的分布对于大耦合来说衰减得足够慢。 等价地，如果集合中足够大的一部分对噪声的响应足够弱，去同步化就不会发生。 当每个振荡器对噪声的响应和耦合强度相关时，这两种效应会相互结合。 这种结合被定量地表征，并通过具体的例子进行说明。 显示英文摘要

摘要： We study the effects of noise on the collective dynamics of an ensemble of coupled phase oscillators whose natural frequencies are all identical, but whose coupling strengths are not the same all over the ensemble. The intensity of noise can also be heterogeneous, representing diversity in the individual responses to external fluctuations. We show that the desynchronization transition induced by noise may be completely suppressed, even for arbitrarily large noise intensities, is the distribution of coupling strengths decays slowly enough for large couplings. Equivalently, if the response to noise of a sufficiently large fraction of the ensemble is weak enough, desynchronization cannot occur. The two effects combine with each other when the response to noise and the coupling strength of each oscillator are correlated. This combination is quantitatively characterized and illustrated with explicit examples.