不完全相同的多路复用促进嵌合体状态
Non-identical multiplexing promotes chimera states
摘要：
我们提出的嵌合体的出现，一个国家指的是共存的部分相干，部分不相干的动力学在网络中的相同的振荡器，在一个多路复用的网络，由两个不相同的层是相互连接的。我们证明了在同质的第一层的多路复用网络的嵌合体状态显示的参数范围可以通过改变第二层中的相同节点的链接密度或连接结构来调整。我们专注于相互连接的第二层上的放大或缩小的耦合制度的嵌合体显示在均匀的第一层的影响。我们发现，较致密的同质第二层会促进稀疏第一层中的嵌合体，而嵌合体不会孤立地发生。此外，如果第二层是均匀的，则第二层需要密集的连接密度，如果第二层是不均匀的，则这不是真的。我们证明了在现实世界的复杂系统中常见的稀疏非均匀第二层可以在稀疏均匀第一层中促进嵌合态。
英文摘要：
We present the emergence of chimeras, a state referring to coexistence of partly coherent, partly incoherent dynamics in networks of identical oscillators, in a multiplex network consisting of two non-identical layers which are interconnected. We demonstrate that the parameter range displaying the chimera state in the homogeneous first layer of the multiplex networks can be tuned by changing the link density or connection architecture of the same nodes in the second layer. We focus on the impact of the interconnected second layer on the enlargement or shrinking of the coupling regime for which chimeras are displayed in the homogeneous first layer. We find that a denser homogeneous second layer promotes chimera in a sparse first layer, where chimeras do not occur in isolation. Furthermore, while a dense connection density is required for the second layer if it is homogeneous, this is not true if the second layer is inhomogeneous. We demonstrate that a sparse inhomogeneous second layer which is common in real-world complex systems can promote chimera states in a sparse homogeneous first layer.
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