Fitness for Synchronization of Network Motifs

TL;DR

This paper investigates how network motifs synchronize in Kuramoto oscillator models, revealing a critical point and correlating synchronization fitness with motif structure, with implications for biological network evolution.

Contribution

It introduces a detailed analysis of synchronization in network motifs, highlighting the relationship between motif structure and synchronization likelihood, and discusses implications for network evolution.

Findings

Existence of a non-trivial critical point in motif synchronization.

Synchronization probability correlates with interconnectedness and complexity.

Insights into network evolution in biological systems.

Abstract

We study the phase synchronization of Kuramoto's oscillators in small parts of networks known as motifs. We first report on the system dynamics for the case of a scale-free network and show the existence of a non-trivial critical point. We compute the probability that network motifs synchronize, and find that the fitness for synchronization correlates well with motif's interconnectedness and structural complexity. Possible implications for present debates about network evolution in biological and other systems are discussed.