Memristor-based time-delay hyperchaotic system with circuit simulation and image encryption

With the advancement of computational capacity, the key space will become one of the crucial factors influencing the security of digital cryptographic systems. Despite chaotic-based digital cryptographic systems possessing large key spaces, the post-Moore's era rapid growth in computational capacity continues to pose challenges to the security of chaotic-based cryptographic systems. To address this issue, a novel image encryption scheme based on non-autonomous chaotic system is presented in this paper. In particular, a brain inspired neuron called continuous-coupled neural network (CCNN) is utilized to design image encryption scheme. To achieve the efficient image encryption scheme, firstly, the CCNN model is simplified to uncoupled-linking neuron model. The dynamic behavior under various driving signals is studied. The analysis showed that uncoupled-linking CCNN neuron exhibit various dynamic behavior under sine waves, triangular waves, sawtooth, superimposed sine waves, etc. Secondly, the decorrelation operation method is utilized to enhance the pseudo-randomness of the sequence. On this basis, thirdly, the image encryption scheme is proposed. It uses bit-level pixel scrambling, row scrambling, column scrambling and diffusion to modify the pixel value and the pixel position of the image. Security analysis shows that the proposed scheme is able to resist differential attack, statistics attack, known-plaintext attack and brute force attack. Moreover, the key space of the proposed scheme can be extended by the combination of drive signals. This unique feature makes the key space of the proposed scheme to be infinite, leading this kind of chaos-based cryptographic system to be a competitive candidate in post-Moore's era.

Section: Introductionmentioning

confidence: 99%

A novel image encryption scheme based on ccnn

Zhang,

Sun,

Geng

et al. 2024

“…In the field of image encryption where more random and unpredictable chaotic sequences are often required, hyperchaotic systems are clearly more advantageous than general chaotic systems. By adding a delay parameter to a four-dimensional chaotic system, Sun et al [12] converted the system from chaotic to hyperchaotic, emphasizing the coexistence phenomenon of the system. Hyperchaotic systems can offer richer and more complicated dynamical behaviors in the application of chaotic image encryption since they are more complex in comparison to that of general chaotic systems.…”

Section: Introductionmentioning

confidence: 99%

Cross-channel image encryption algorithm on the basis of a conservative hyperchaotic system

Zhao,

Sun,

Sun

et al. 2024

In image encryption, the traditional encryption means of scrambling and diffusion are widely used, but they fail to completely eliminate the correlation between the channels of the ciphertext image and still exist security risks. The selecting channel and position scrambling and cross-channel S-shaped diffusion methods proposed in this study push the encryption to a new depth. Compared with ordinary methods, it is more thorough in disrupting pixel positions, increases the complexity of pixel relationships between different channels, and substantially improves the unpredictability of encryption. To support this approach, we design a four-dimensional conservative hyperchaotic system with a very large hyperchaotic interval, which combines the high randomness of the conservative system and the broad key-space property of the hyperchaotic system, effectively defending against the risk of phase-space reconstruction aroused by missing attractors and reducing the possibility of being cracked. We deeply analyze the dynamic properties of the system by means of phase diagrams, bifurcation diagrams and Lyapunov exponents. The cross-channel scrambling and diffusion encryption algorithm designed based on this system not only ensures the security of image information during transmission, but also greatly enhances the ability to resist various attacks. The proposal of this method undoubtedly brings a secure solution to the field of image encryption.

“…memristor, provides a new way to design simple chaotic circuits [8][9][10][11]. Complex dynamical characteristics of chaos make it convenient for chaos-based applications, especially in the field of image encryptions [12][13][14][15]. For the study of chaos, the bifurcation routes, time-sequence evolutions, and the motion on phase portraits etc are intuitive ways for the detailed investigation.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a simple third-order autonomous MLC circuit

Zhang

2023

This paper reports a new simple third-order memristive circuit only containing three elements of inductor, capacitor, and active generalized memristor, from which rich dynamical behaviors are generated. With a dimensionless system model, the performed analyses show that the proposed memristive circuit only has an unstable equilibrium point of saddle-focus-type. The antimonotonicity makes the system exhibits coexisting chaotic and periodic bubbling single-parameter bifurcation routes. Moreover, the quasiperiodic torus, various bursting and beat phenomena with chaotic and periodic oscillations are demonstrated by numerical simulations. The analog circuit implementations are further presented to show the phase portraits and time sequences of the generated attractors.