Synchronization in scale-free network with asymmetric coupling

TL;DR

This paper investigates how asymmetrical coupling based on node age influences synchronization in scale-free networks, showing that older-to-younger node coupling enhances synchronization in growing networks.

Contribution

It introduces a model of asymmetric coupling based on node age and compares synchronization effects in growing versus non-growing networks.

Findings

Synchronization is enhanced with older-to-younger coupling in growing networks.

Asymmetry based on node age affects synchronization dynamics.

Comparison with non-growing networks highlights the role of network growth.

Abstract

The propensity for synchronization is studied in a complex network of asymmetrically coupled units, where the asymmetry in a given link is determined by the relative age of the involved nodes. In growing scale-free networks synchronization is enhanced when couplings from older to younger nodes are dominant. We describe the requirements for such an effect in a more general context and compare with the situations in non growing random networks with and without a degree ordering.