Hyperchaotic System for Secure Communication: A Modified 4D Model and its Dynamics

This study introduces a novel four-dimensional hyperchaotic system characterized by two positive Lyapunov exponents, showcasing enhanced complexity compared to traditional chaotic systems. The model’s dynamics are analyzed through equilibrium points, dissipation, bifurcations, Lyapunov spectra, Kaplan-Yorke dimension, phase portraits, and Poincaré mapping. The system demonstrates hyperchaotic behavior and multi-scroll attractors under specific parameter conditions. Control and synchronization techniques are developed using feedback and adaptive methods, enabling secure communication applications. Numerical simulations validate the successful encoding and decoding of messages, highlighting the system’s potential for secure communication and encryption.