A Robust Memristor-Enhanced Polynomial Hyper-Chaotic Map and Its Multi-Channel Image Encryption Application

Abstract

Nowadays, the utilization of memristors to enhance the dynamical properties of chaotic systems has become a popular research topic. In this paper, we present the design of a novel 2D memristor-enhanced polynomial hyper-chaotic map (2D-MPHM) by utilizing the cross-coupling of two TiO2 memristors. The dynamical properties of the 2D-MPHM were investigated using Lyapunov exponents, bifurcation diagrams, and trajectory diagrams. Additionally, Kolmogorov entropy and sample entropy were also employed to evaluate the complexity of the 2D-MPHM. Numerical analysis has demonstrated the superiority of the 2D-MPHM. Subsequently, the proposed 2D-MPHM was applied to a multi-channel image encryption algorithm (MIEA-MPHM) whose excellent security was demonstrated by key space, key sensitivity, plaintext sensitivity, information entropy, pixel distribution, correlation analysis, and robustness analysis. Finally, the encryption efficiency of the MIEA-MPHM was evaluated via numerous encryption efficiency tests. These tests demonstrate that the MIEA-MPHM not only possesses excellent security but also offers significant efficiency advantages, boasting an average encryption rate of up to 87.2798 Mbps.

Optical Encryption Using Attention-Inserted Physics-Driven Single-Pixel Imaging

“…In the proposed cryptosystem, the encrypted ciphertext comes from the output of the attention module. The key space [41,42,45] can be infinite because either the two sequences of single-pixel measurements or the input cryptographic key sequence are random with unlimited dynamic range.…”

“…Therefore, the forward propagation process of this module can also be regarded as the encryption of these three input vectors. Based on this concept, this paper proposes a physically driven neural network SPI encryption scheme using the above attention module to deal with multi-image encryption tasks [39][40][41][42]. We let the two vectors of the attention module be taken from single-pixel measurements that correspond to two different object images and set the sequence of cryptographic keys as the third vector.…”

Exploiting Newly Designed Fractional-Order 3D Lorenz Chaotic System and 2D Discrete Polynomial Hyper-Chaotic Map for High-Performance Multi-Image Encryption

“…Due to its extreme sensitivity to input, SHA-256 has been widely employed in image encryption to enhance the plaintext sensitivity of an image encryption algorithm [16]. In MIEA-FCSM, we first use SHA-256 to obtain the 32-byte hash value h of C (2) .…”

“…Notably, chaotic systems possess multiple unique properties that are suitable for constructing cryptographic systems, including unpredictability and randomness. Therefore, a majority of the existing image encryption algorithms are built upon various chaotic systems [16]. Here, we can provide several examples of recent advancements.…”