Local predictors of explosive synchronization with ordinal methods

TL;DR

This paper introduces the use of ordinal pattern transition entropy at key nodes as a superior early warning indicator for explosive synchronization transitions across various complex networks and dynamical systems.

Contribution

It presents a novel application of OPT entropy as a predictive tool, outperforming traditional measures in diverse network models and real electronic circuit data.

Findings

OPT entropy surpasses traditional EWS measures

Effective in networks of oscillators and chaotic systems

Applicable to real-world electronic circuit data

Abstract

We propose to use the ordinal pattern transition (OPT) entropy measured at sentinel central nodes as a potential predictor of explosive transitions to synchronization in networks of various dynamical systems with increasing complexity. Our results demonstrate that the OPT entropic measure surpasses traditional early warning signals (EWS) measures and could be valuable to the tools available for predicting critical transitions. In particular, we investigate networks of diffusively coupled phase oscillators and chaotic R\"ossler systems. As maps, we consider a neural network of Chialvo maps coupled in star and scale-free configurations. Furthermore, we apply this measure to time series data obtained from a network of electronic circuits operating in the chaotic regime.