Reconstructing directed and weighted topologies of phase-locked oscillator networks

TL;DR

This paper introduces REDRAW, a method to reconstruct directed and weighted network topologies of phase-locked oscillators, aiding in understanding complex interactions in systems like human coordination.

Contribution

The paper presents a novel approach, REDRAW, for inferring directed and weighted network structures from phase-locked oscillator data, addressing a key challenge in network science.

Findings

Successfully reconstructs network topologies in simulated data

Provides insights into interaction patterns of oscillator networks

Potential application to human ensemble coordination

Abstract

The formalism of complex networks is extensively employed to describe the dynamics of interacting agents in several applications. The features of the connections among the nodes in a network are not always provided beforehand, hence the problem of appropriately inferring them often arises. Here, we present a method to reconstruct directed and weighted topologies (REDRAW) of networks of heterogeneous phase-locked nonlinear oscillators. We ultimately plan on using REDRAW to infer the interaction structure in human ensembles engaged in coordination tasks, and give insights into the overall behavior.