Analysis and secure communication applications of a 4D chaotic system with transcendental nonlinearities

This manuscript presents a novel 4D chaotic system incorporating transcendental nonlinearities to enhance its complexity and chaotic behavior. The system's dynamics are analyzed through equilibrium points, bifurcation diagrams, Lyapunov exponents (LEs), sensitivity analysis, basins of attraction, coexistence phenomena, and strange attractors. Impulsive control strategies are employed to establish both local and global stability, validated via Lyapunov-based analysis and numerical simulations. Additionally, synchronization between chaotic systems is explored, demonstrating a robust framework for chaos-based secure communication. The application of the proposed system in secure communications is also discussed.