Nonlinear Control Synchronization Method for Fractional-order Time Derivatives Chaotic Systems

TL;DR

This paper introduces a nonlinear control synchronization method for fractional-order chaotic systems, demonstrating its effectiveness through numerical simulations and analyzing the impact of synchronization time and derivative rearrangement.

Contribution

It presents a novel synchronization approach for fractional-order chaotic systems using the Adams-Bashforth-Moulton method, with detailed analysis of synchronization timing and derivative effects.

Findings

Successful synchronization of chaotic systems demonstrated

Numerical simulations confirm method reliability and applicability

Analysis of synchronization time and derivative effects included

Abstract

"Synchronization of two dynamical systems" is the term used to describe the phenomenon when two or more systems gradually change their states or behaviors to become similar or identical. This can happen in a lot of fields, such as physics, engineering, biology, and economics. Synchronization finds applications in neurology and communication systems. It is present in both man-made and organic systems. The nonlinear control synchronization technique for fractional-order time derivative systems is described in this article, where the Adams Basford Moulton method is used for solving the fractional-order system. The reliability and ease of applicability for two chaotic systems are demonstrated by the numerical simulation. Furthermore, in this article, both systems were kept in a chaotic condition while being synchronized with each other. The effects of synchronizing time and rearranging the derivatives are the most significant sections of this article.