Fractional order chaotic systems synchronization

Abstract

In recent years, the synchronization of chaotic systems has received significant interest and research attention due to its potential applications in various fields, such as secure communication, biological and physical systems, and structural engineering. A wide variety of approaches have been proposed for achieving synchronization of chaotic systems, including complete synchronization, generalized synchronization, and projective synchronization. In this work, we focus on the problem of synchronization of fractional-order chaotic linear systems using suitable controllers and stability theory of linear integer order systems. The study emphasizes the importance of synchronization in chaotic systems, particularly in the context of fractional-order systems, and the simulation results validate the effectiveness of the proposed approach in achieving synchronization of fractional-order chaotic systems.