Department of Mathematics, University of Sussex, Falmer, Brighton BN1 9QH, England, United Kingdom.
Phys Rev E. 2017 Sep;96(3-1):032203. doi: 10.1103/PhysRevE.96.032203. Epub 2017 Sep 5.
We consider a globally coupled network of active (oscillatory) and inactive (nonoscillatory) oscillators with distributed-delay coupling. Conditions for aging transition, associated with suppression of oscillations, are derived for uniform and gamma delay distributions in terms of coupling parameters and the proportion of inactive oscillators. The results suggest that for the uniform distribution increasing the width of distribution for the same mean delay allows aging transition to happen for a smaller coupling strength and a smaller proportion of inactive elements. For gamma distribution with sufficiently large mean time delay, it may be possible to achieve aging transition for an arbitrary proportion of inactive oscillators, as long as the coupling strength lies in a certain range.
我们考虑了一个具有分布式延迟耦合的主动（振荡）和非主动（非振荡）振荡器的全局耦合网络。根据耦合参数和非活跃振荡器的比例，以均匀分布和伽马分布的形式推导出了与抑制振荡相关的老化转变条件。结果表明，对于均匀分布，在相同的平均延迟下增加分布的宽度可以使老化转变在较小的耦合强度和较小的非活跃元件比例下发生。对于具有足够大的平均延迟时间的伽马分布，只要耦合强度在一定范围内，就有可能实现任意比例的非活跃振荡器的老化转变。
