Electronic circuit and image encryption using a novel simple 4D hyperchaotic system

Abstract

A new simple 4D autonomous hyperchaotic system with seven terms is introduced. This system was inspired by an unusual 3D chaotic Liu system with six terms. The proposed system has two unstable saddle and saddle-foci points. Theoretical and numerical analyses are conducted to investigate various dynamical features of the system, including its equilibria, Jacobian matrix, Lyapunov exponents, Lyapunov dimension (Kaplan-Yorke), and multistability. The proposed system demonstrates multistability, enhancing its potential for various applications. An electronic circuit implementation using NI Multisim software 14.3 validates the system's practical feasibility. A novel image encryption algorithm has been developed based on the system's hyperchaotic properties. Experimental results confirm the algorithm's robustness in both encryption accuracy and computational efficiency compared to existing methods. As well as, correlation analysis of adjacent pixels in encrypted images yields near-zero or negative values, indicating adequate randomization. The NIST SP800-22 statistical tests confirm the randomness of generated sequences with p-values consistently above 0.01. Information entropy analysis of encrypted images approaches the ideal value. These results demonstrate the proposed system's effectiveness in secure image encryption, offering a promising solution for multimedia security applications.