Synchronization between variable time delayed systems and cryptography

TL;DR

This paper investigates synchronization in variable time delayed chaotic systems and explores their application in cryptography, demonstrating message encryption and extraction through numerical and analytical methods.

Contribution

It introduces a novel synchronization approach for variable delay systems using adaptive coupling and analyzes its cryptographic potential.

Findings

Successful synchronization achieved with variable delays

Effective message encryption and extraction demonstrated

Analytical and numerical validation of synchronization and cryptography

Abstract

In this letter we consider a prototype model which is described as an autonomous continuous time delayed differential equation with just one variable. The chaos has been investigated with variable delay time and the synchronization phenomenon is examined both numerically and analytically using the Krasovskii-Lyapunov functions. We have applied adaptive coupling law for synchronization,where the coupling equation also contains delay with modulated time. We also studied the effect of cryptography for this coupled system and the message extraction procedure is illustrated with the help of simulated results.