Analysis and Application Using Quad Compound Combination Anti-synchronization on Novel Fractional-Order Chaotic System

In this manuscript, a novel fractional-order chaotic model has been investigated. The characteristic dynamics of the model have been investigated using various tools such as Lyapunov dynamics, bifurcation diagrams, equilibrium point analysis, Kaplan York dimension, existence and uniqueness of solution. The Lyapunov spectrum, bifurcation diagrams and attractors are discussed over a range of fractional order of 0.8 to 1. The considered system is synchronized by using a novel technique quad compound combination anti-synchronization using two control methods, viz. nonlinear and adaptive sliding mode technique. The obtained results of synchronization are compared with some existing literature and also illustrated its application in secure communication.

Automated summary

In this study, a novel fractional-order chaotic model was investigated, and the characteristic dynamics of the model were analyzed using various tools. Synchronization of the considered system was achieved using a novel technique and results were compared with existing literature, demonstrating its application in secure communication.