Synchronization on directed small worlds: feed forward loops and cycles

TL;DR

This paper explores how specific local network motifs, especially feed forward loops, influence the synchronization behavior of Kuramoto oscillators on directed small world networks, emphasizing the role of local structures.

Contribution

It demonstrates that feed forward loops enhance synchronization in directed small world networks, highlighting the significance of local motifs in network dynamics.

Findings

Feed forward loops promote synchronization.

Local network motifs significantly affect synchronization.

Directed small world networks exhibit motif-dependent dynamics.

Abstract

In this paper we investigate the influence of directed motifs on the synchronization properties of Kuramoto oscillators on directed networks. Building different types of sparse directed small world networks similar to the Watts and Strogatz procedure we establish that feed forward loops favour synchronization on directed networks. The paper highlights the importance of local network characteristics for synchronization.