Explosive first-order transition to synchrony in networked chaotic oscillators

TL;DR

This paper demonstrates an explosive, first-order phase transition to synchronization in networks of chaotic oscillators through simulations and experiments, revealing a novel abrupt synchronization phenomenon with potential practical applications.

Contribution

It provides the first experimental evidence of explosive synchronization in chaotic networks, confirming simulation results and highlighting its real-world relevance.

Findings

Evidence of first-order synchronization transition in chaotic networks

Experimental validation with electronic circuits

Potential for practical applications of explosive synchronization

Abstract

Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in networks of chaotic units. Namely, by means of both extensive simulations of networks made up of chaotic units, and validation with an experiment of electronic circuits in a star configuration, we demonstrate the existence of a first order transition towards synchronization of the phases of the networked units. Our findings constitute the first prove of this kind of synchronization in practice, thus opening the path to its use in real-world applications.