A spiral wave chimera is a remarkable spatiotemporal pattern in a two-dimensional array of oscillators, for which the coherent spiral arms coexist with incoherent cores. So far the spiral wave chimeras have been known to occur in nonlocally coupled oscillators where the coupling strength between oscillators varies with the distance between them. Here we report on spiral wave chimeras for globally coupled phase oscillators with heterogeneous phase lags on the sphere. On the basis of Ott–Antonsen theory, we reduce our model to a low-dimensional system and present stability diagrams for different stationary states of the reduced system. We demonstrate the existence of spiral wave chimeras for the globally coupled phase oscillators with space-dependent interaction delays on the sphere, which are extended to appear also in the Stuart–Landau system of amplitude–phase oscillators. Chimeric behavior due to the heterogeneity in phase lags or time delays is peculiar to two-dimensional arrays of oscillators, which exhibits a self-emerging state in a wide parameter region. As an essential driving mechanism for the emergence of spiral chimeras, the space-dependent feature of interaction delays is omnipresent in nature and engineering systems, and we anticipate that our model and the related spiral chimera patterns will have widespread practical applications in the biological oscillatory networks.

螺旋波嵌合体是二维阵列振荡器中的一种显着的时空模式，为此，相干的螺旋臂与不相干的磁芯共存。迄今为止，已知螺旋波嵌合体发生在非局部耦合的振荡器中，其中振荡器之间的耦合强度随它们之间的距离而变化。在这里，我们报告了球体上具有异相滞后的全局耦合相位振荡器的螺旋波嵌合体。根据Ott–Antonsen理论，我们将模型简化为低维系统，并针对简化系统的不同静态给出了稳定性图。我们证明了球形耦合时延与全局耦合的相位振荡器的螺旋波嵌合体的存在，扩展到也出现在幅度相位振荡器的Stuart-Landau系统中。由相位滞后或时间延迟的异质性引起的嵌合行为是二维振荡器阵列特有的，它在较宽的参数区域内显示出自发状态。作为螺旋嵌合体出现的重要驱动机制，相互作用延迟的空间依赖性特征在自然和工程系统中无处不在，我们预计我们的模型和相关的螺旋嵌合体模式将在生物振荡网络中得到广泛的实际应用。 。