Synchronization in weighed scale-free networks with degree-degree correlation

TL;DR

This paper investigates how degree-degree correlations in weighted scale-free networks influence synchronization, revealing that certain correlation patterns enhance synchronization depending on the directionality of interactions.

Contribution

It demonstrates that degree-degree correlation patterns significantly affect synchronization in weighted scale-free networks with asymmetric coupling.

Findings

Synchronization is enhanced by assortative correlations when high-degree nodes influence low-degree nodes.

Disassortative correlations improve synchronization when low-degree nodes influence high-degree nodes.

The directionality of influence combined with degree correlations determines synchronization efficiency.

Abstract

We study synchronization phenomena in scale-free networks of asymetrically coupled dynamical systems featuring degree-degree correlation in the connection wiring. We show that when the interaction is dominant from the high-degree to the low-degree or from the low-degree to the high-degree nodes, synchronization is enhanced for assortative or disassortative degree-degree correlations