Experimental confirmation of chaotic phase synchronization in coupled time-delayed electronic circuits

TL;DR

This paper presents the first experimental demonstration of chaotic phase synchronization in coupled time-delay electronic circuits, using multiple methods to confirm the phenomenon.

Contribution

It provides the first experimental evidence of CPS in time-delay systems and introduces an efficient methodology for its characterization using localized sets.

Findings

Experimental confirmation of CPS in electronic circuits

Validation of localized sets as a characterization method

Numerical support from Lyapunov exponents and recurrence analysis

Abstract

We report the first experimental demonstration of chaotic phase synchronization (CPS) in unidirectionally coupled time-delay systems using electronic circuits. We have also implemented experimentally an efficient methodology for characterizing CPS, namely the localized sets. Snapshots of the evolution of coupled systems and the sets as observed from the oscilloscope confirming CPS are shown experimentally. Numerical results from different approaches, namely phase differences, localized sets, changes in the largest Lyapunov exponents and the correlation of probability of recurrence ($C_{CPR}$), corroborate the experimental observations.