In this study, we performed comprehensive morphological investigations of the spontaneous formations of effective network structures among elements in coupled logistic maps, specifically with a delayed connection change. Our proposed model showed ten states with different structural and dynamic features of the network topologies. Based on the parameter values, various stable networks, such as hierarchal networks with pacemakers or multiple layers, and a loop-shaped network were found. We also found various dynamic networks with temporal changes in the connections, which involved hidden network structures. Furthermore, we found that the shapes of the formed network structures were highly correlated to the dynamic features of the constituent elements. The present results provide diverse insights into the dynamics of neural networks and various other biological and social networks.

中文翻译：

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具有延迟连接变化的耦合物流地图中多样化网络结构的自发组织

在这项研究中，我们对耦合逻辑图中元素之间有效网络结构的自发形成进行了全面的形态学研究，特别是延迟连接变化。我们提出的模型显示了具有不同网络拓扑结构和动态特征的十种状态。根据参数值，找到了各种稳定的网络，例如带有起搏器或多层的分层网络和环形网络。我们还发现了连接随时间变化的各种动态网络，其中涉及隐藏的网络结构。此外，我们发现所形成的网络结构的形状与构成元素的动态特征高度相关。