Emergence of hierarchical networks and polysynchronous behaviour in simple adaptive systems

TL;DR

This paper explores how simple adaptive networks evolve into hierarchical structures with polysynchronous states, shedding light on their potential role in biological and physical systems.

Contribution

It introduces a model demonstrating the emergence of hierarchical networks and polysynchronous behavior in adaptive systems, highlighting their potential biological and physical relevance.

Findings

Networks evolve into disconnected components with polysynchronous states

Polysynchrony can emerge in simple adaptive network models

Hierarchical structures arise naturally in the studied systems

Abstract

We describe the dynamics of a simple adaptive network. The network architecture evolves to a number of disconnected components on which the dynamics is characterized by the possibility of differently synchronized nodes within the same network (polysynchronous states). These systems may have implications for the evolutionary emergence of polysynchrony and hierarchical networks in physical or biological systems modeled by adaptive networks.