Synchronization between a Novel Integer-Order Hyperchaotic System and a Fractional-Order Hyperchaotic System Using Tracking Control

Abstract

This manuscript investigates the synchronization between a novel integer order hyperchaotic system and a fractional order hyperchaotic system. The controllers are constructed using the technique of tracking controller and the stability theory of the linear fractional order system. Chaotic analysis of the introduced novel integer order hyperchaotic system is also investigated. The Lyapunov exponent, bifurcation diagram, Poincare section, Kaplan-Yorke dimension, equilibria and phase portraits are given to justify the chaotic nature of the system. Theoretical results are supported with the numerical simulations.