复杂网络中的嵌合态：分形拓扑与时延的相互作用
Chimera states in complex networks: interplay of fractal topology and delay
摘要：
嵌合体状态是在相同振荡器网络中出现的有趣的部分同步模式的一个例子。它们包括空间共存的域的相干（同步）和非相干（去相干化）的动态。我们分析了具有层次连接性的Van der Pol振子网络中的嵌合态，并详细阐述了耦合项中引入的时滞的作用。在耦合强度和延迟时间的参数平面中，我们发现了嵌合体状态存在的舌状区域与相干行波存在的区域交替。我们证明，通过改变时间延迟，可以故意稳定所需的时空模式的系统。
英文摘要：
Chimera states are an example of intriguing partial synchronization patterns emerging in networks of identical oscillators. They consist of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics. We analyze chimera states in networks of Van der Pol oscillators with hierarchical connectivities, and elaborate the role of time delay introduced in the coupling term. In the parameter plane of coupling strength and delay time we find tongue-like regions of existence of chimera states alternating with regions of existence of coherent travelling waves. We demonstrate that by varying the time delay one can deliberately stabilize desired spatio-temporal patterns in the system.
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