Network reconstruction from random phase-resetting

TL;DR

This paper introduces a new method for reconstructing oscillator network topology and interactions by using random phase resets and ensemble averaging, applicable to diverse network dynamics including synchrony.

Contribution

The paper presents a novel approach that reconstructs network structure from phase-resetting experiments, extending applicability to various oscillator networks with complex dynamics.

Findings

Effective reconstruction of network topology from phase-reset data.

Applicable to networks with arbitrary emergent dynamics, including synchrony.

Method demonstrated to accurately reveal interaction functions.

Abstract

We propose a novel method of reconstructing the topology and interaction functions for a general oscillator network. An ensemble of initial phases and the corresponding instantaneous frequencies is constructed by repeating random phase-resets of the system dynamics. The desired details of network structure are then revealed by appropriately averaging over the ensemble. The method is applicable for a wide class of networks with arbitrary emergent dynamics, including full synchrony.