A secure communication scheme based on generalized modified projective synchronization of a new 4-D fractional-order hyperchaotic system

Abstract

Abstract This paper focuses on the exploration of the chaotic behavior of a new 4-D fractional-order hyperchaotic system with five nonlinearities. The Adomian decomposition method is employed to solve the fractional-order hyperchaotic system. The stability of equilibrium points in this system is analyzed. Through bifurcation diagrams, Lyapunov exponent spectra, chaotic attractors, 0-1 test, C 0 complexity, and spectral entropy, the chaotic dynamics of the proposed system are investigated. Using these tools, we demonstrate the fractional-order system’s sensitivity to variation in both the derivative order and initial conditions. Moreover, a modified generalized projective synchronization is developed to implement chaos synchronization between two coupled fractional-order hyperchaotic systems. Furthermore, this work presents an application of synchronization scheme in secure communication. Numerical simulations were implemented to validate the effectiveness of the proposed secure communication scheme.