Spontaneous organizations of diverse network structures in coupled logistic maps with a delayed connection change

TL;DR

This paper investigates how diverse network structures spontaneously form in coupled logistic maps with delayed connection changes, revealing multiple stable and dynamic configurations linked to element behaviors.

Contribution

It introduces a model demonstrating ten distinct network states, including hierarchical and loop structures, with insights into their dynamic and structural features.

Findings

Ten different network states identified

Stable hierarchical and loop networks observed

Network shapes correlate with element dynamics

Abstract

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.