Transmission of information and synchronization in a pair of coupled chaotic circuits: an experimental overview

TL;DR

This paper experimentally investigates how information transmission correlates with synchronization in coupled chaotic circuits, showing that higher synchronization levels lead to increased information exchange, validated through experiments and simulations.

Contribution

It provides an experimental framework for studying information and synchronization in non-identical coupled chaotic circuits, extending theoretical insights to practical scenarios.

Findings

Higher synchronization correlates with increased information exchange.

Experimental results align with numerical simulations.

Method applicable to large active networks.

Abstract

We propose a rationale for experimentally studying the intricate relationship between the rate of information transmission and synchronization level in active networks, applying theoretical results recently proposed. We consider two non-identical coupled Chua's circuit with non-identical coupling strengths in order to illustrate the proceeding for experimental scenarios of very few data points coming from highly non-coherent coupled systems, such that phase synchronization can only be detected by methods that do not rely explicitely on the calculation of the phase. A relevant finding is to show that for the coupled Chua's circuit, the larger the level of synchronization the larger the rate of information exchanged between both circuits. We further validate our findings with data from numerical simulations, and discuss an extension to arbitrarily large active networks.