We report the appearance of a scroll ring and scroll toroid chimera states from the proposed initial conditions for the Kuramoto model of coupled phase oscillators in the 3D grid topology with inertia. The proposed initial conditions provide an opportunity to obtain as single as well as multiple scroll ring and toroid chimeras with different major and minor diameters. We analyze their properties and demonstrate, in particular, the patterns of coherent, partially coherent, and incoherent scroll ring chimera states with different structures of filaments and chaotic oscillators. Those patterns can coexist with solitary states and solitary patterns in the oscillatory networks.

我们从 3D 网格拓扑中具有惯性的耦合相位振荡器的 Kuramoto 模型的建议初始条件报告了滚动环和滚动环形嵌合体状态的出现。建议的初始条件提供了获得具有不同大直径和小直径的单个和多个滚动环和环形嵌合体的机会。我们分析了它们的特性，并特别展示了具有不同细丝和混沌振荡器结构的相干、部分相干和非相干滚动环嵌合体状态的模式。这些模式可以与振荡网络中的孤立状态和孤立模式共存。