Consistency of heterogeneous synchronization patterns in complex weighted networks

TL;DR

This paper investigates how heterogeneous weighted networks exhibit diverse and persistent synchronization patterns among oscillators, revealing that complex topologies promote richer consistency than regular networks.

Contribution

It demonstrates that heterogeneity in coupling weights enhances diverse synchronization patterns and their persistence across initial conditions in complex networks.

Findings

Heterogeneous weights promote diverse synchronization patterns.

Complex networks show higher consistency than regular networks.

Synchronization patterns persist regardless of initial conditions.

Abstract

We show that subsets of interacting oscillators may synchronize in different ways within a single network. This diversity of synchronization patterns is promoted by increasing the heterogeneous distribution of coupling weights and/or asymmetries in small networks. We also analyze consistency, defined as the persistence of coexistent synchronization patterns regardless of the initial conditions. Our results show that complex weighted networks display richer consistency than regular networks, suggesting why certain functional network topologies are often constructed when experimental data are analyzed.