Exploring the Different Order of Switches During Multi-switching Synchronization

The current study explores the concept of generalization of multi-switching synchronization. It contains designing the various orders of switches based on the number of state variables in the drive and response subsystems. The proposed theme is demonstrated using two hyper chaotic systems, namely Chen and Lorenz, with the aid of nonlinear active control. Prior to achieving synchronization, a chaotic analysis is conducted, including the Lyapunov characteristics exponents, fractional dimensions, and dissipativity. The study presents four distinct orders of switches (heterogeneous) and validates the computational results using Mathematica. This research contributes to the understanding of the multi-switching synchronization in broad sense and its potential applications in synchronizing the chaotic systems.