论文标题

拓扑对三元神经网络中继电器同步的影响

Effect of Topology upon Relay Synchronization in Triplex Neuronal Networks

论文作者

Drauschke, Fenja, Sawicki, Jakub, Berner, Rico, Omelchenko, Iryna, Schöll, Eckehard

论文摘要

复杂网络中的继电器同步的特征是由于它们通过继电器的相互作用而导致网络远程部分的同步。在多层网络中,未直接连接的遥远图层可以通过继电器层的信号传播而同步。在这项工作中,我们研究了相互作用的Fitzhugh-Nagumo振荡器的三层网络中部分同步模式的中继同步。我们证明了继电器同步的现象对于层网络中小世界类型的拓扑随机不均匀性是可靠的。我们表明,在连通性结构中包括随机性,远程网络层或继电器层都会增加层间耦合强度的范围,可以观察到中继同步。

Relay synchronization in complex networks is characterized by the synchronization of remote parts of the network due to their interaction via a relay. In multilayer networks, distant layers that are not connected directly can synchronize due to signal propagation via relay layers. In this work, we investigate relay synchronization of partial synchronization patterns like chimera states in three-layer networks of interacting FitzHugh-Nagumo oscillators. We demonstrate that the phenomenon of relay synchronization is robust to topological random inhomogeneities of small-world type in the layer networks. We show that including randomness in the connectivity structure either of the remote network layers, or of the relay layer, increases the range of interlayer coupling strength where relay synchronization can be observed.

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