Delay-induced driven patterns in coupled Cayley tree networks

TL;DR

This paper investigates how delay affects pattern formation and synchronization in coupled logistic maps on Cayley tree networks, revealing complex behaviors and stability differences depending on coupling strength.

Contribution

It introduces a detailed analysis of delay effects on cluster patterns and synchronization in Cayley tree networks, highlighting the robustness and sensitivity across different coupling regimes.

Findings

Small coupling shows delay-sensitive cluster patterns.

Large coupling yields stable driven clusters from last generation.

Delay can both suppress and enhance synchronization.

Abstract

We study effects of delay in diffusively coupled logistic maps on the Cayley tree networks. We find that smaller coupling values exhibits sensitiveness for value of delay, and leads to different cluster patterns of self-organized and driven types. Whereas larger coupling strengths are very robust against change in delay values, and leads to stable driven clusters comprising only nodes from last generation of the Calaye tree. Furthermore, introduction of delay exhibits suppression as well as enhancement of synchronization depending upon coupling strength values, hence demonstrating richness of the model. To the end we relate the results with social conflicts and cooperation observed in families.