Synchronization and secure communication using some chaotic systems of fractional differential equations

TL;DR

This paper demonstrates how chaotic systems modeled by fractional differential equations can be synchronized or anti-synchronized using nonlinear control, enabling secure communication applications.

Contribution

It introduces methods for synchronizing and anti-synchronizing fractional chaotic systems with Caputo derivatives, advancing secure communication techniques.

Findings

Chaotic fractional differential systems can be synchronized.

Anti-synchronization of fractional systems is achievable.

Secure communication can be implemented using these synchronized systems.

Abstract

Using Caputo fractional derivative of order $\alpha,$ $\alpha\in (0,1),$ we consider some chaotic systems of fractional differential equation. We will prove that they can be synchronized and anti-synchronized using suitable nonlinear control function. The synchronized or anti-synchronized error system of fractional differential equations is used in secure communication.