Hardware implementation and information security application of a novel chaotic system with a cubic memristor and complex parameters

Abstract

The inherent properties of chaos offer significant potential for information security, especially in cryptographic applications like image encryption. Therefore, a novel complex chaotic system with a memristor and complex parameters is proposed, its dynamic behaviors are investigated, and its hardware implementation is provided. Parameter-dominated attractors are identified and a precise definition is established. The system exhibits an extensive chaotic region and a broad parameter range, enabling the production of infinitely long key streams. A novel image encryption scheme is proposed by integrating the Advanced Encryption Standard with the proposed chaotic system. This system features a new key generation algorithm and a dynamic Substitution-box algorithm. Rigorous experimentation and security analysis confirm that the proposed algorithm successfully mitigates adjacent pixel correlation while exhibiting strong resilience against various attacks. The proposed method will advance the development of complex chaotic cryptography and establish a foundation for its industrial applications in information security.