A Dynamic Hill Cipher with Arnold Scrambling Technique for Medical Images Encryption DOI Creative Commons
Yue Xi, Ning Yu, Jie Jin

et al.

Mathematics, Journal Year: 2024, Volume and Issue: 12(24), P. 3948 - 3948

Published: Dec. 15, 2024

Cryptography is one of the most important branches information security. ensures secure communication and data privacy, it has been increasingly applied in healthcare related areas. As a significant cryptographic method, Hill cipher attracted attention from experts scholars. To enhance security traditional (THC) expand its application medical image encryption, novel dynamic with Arnold scrambling technique (DHCAST) proposed this work. Unlike THC, DHCAST uses time-varying matrix as secret key, which greatly increases new successfully images encryption. In addition, method employs Zeroing Neural Network (ZNN) decryption to find inversion key (TVIKM). order efficiency ZNN for solving TVIKM, fuzzy zeroing neural network (NFZNN) model constructed, convergence robustness NFZNN are validated by both theoretical analysis experiment results. Simulation experiments show that time about 0.05 s, while (TZNN) 2 means speed 400 times TZNN model. Moreover, Peak Signal Noise Ratio (PSNR) Number Pixel Change Rate (NPCR) algorithm reach 9.51 99.74%, respectively, effectively validates excellent encryption quality attack prevention ability.

Language: Английский

Multiscroll hopfield neural network with extreme multistability and its application in video encryption for IIoT DOI
Fei Yu, Yue Lin, Wei Yao

et al.

Neural Networks, Journal Year: 2024, Volume and Issue: 182, P. 106904 - 106904

Published: Nov. 17, 2024

Language: Английский

Citations

22

A class of n-D Hamiltonian conservative chaotic systems with three-terminal memristor: Modeling, dynamical analysis, and FPGA implementation DOI

Yuan Ye,

Fei Yu, Boon Thong Tan

et al.

Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2025, Volume and Issue: 35(1)

Published: Jan. 1, 2025

Memristors are commonly used to introduce various chaotic systems and can be enhance their characteristics. However, due the strict construction conditions of Hamiltonian systems, there has been limited research on development memristive conservative (MHCCSs). In this work, a method for constructing three-terminal memristors is proposed, incorporated into system, resulting in class n-D MHCCS. Based method, we model 4D MHCCS as standard detailed dynamic analysis. The analysis reveals that exhibits complex behaviors, including conservativeness, symmetry, chaos depending parameters, extreme multistability, under wide parameter range. shows not only retains favorable characteristics system but also more nonlinear dynamics incorporation memristors, thereby further enhancing its Furthermore, pseudo-random number generator based excellent randomness terms NIST test. Finally, physical realizability verified through Field Programmable Gate Array experiments. This study demonstrates constructed MHCCSs good entropy source applied embedded secure communication, cryptographic generator.

Language: Английский

Citations

4

Dynamic Analysis and Implementation of FPGA for a New 4D Fractional-Order Memristive Hopfield Neural Network DOI Creative Commons
Fei Yu,

Shankou Zhang,

Dan Su

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(2), P. 115 - 115

Published: Feb. 13, 2025

Memristor-based fractional-order chaotic systems can record information from the past, present, and future, describe real world more accurately than integer-order systems. This paper proposes a novel memristor model verifies its characteristics through pinched loop (PHL) method. Subsequently, new memristive Hopfield neural network (4D-FOMHNN) is introduced to simulate induced current, accompanied by Caputo’s definition of fractional order. An Adomian decomposition method (ADM) employed for system solution. By varying parameters order 4D-FOMHNN, rich dynamic behaviors including transient chaos, coexistence attractors are observed using methods such as bifurcation diagrams Lyapunov exponent analysis. Finally, proposed FOMHNN implemented on field-programmable gate array (FPGA), oscilloscope observation results consistent with MATLAB numerical simulation results, which further validate theoretical analysis provide basis application in field encryption.

Language: Английский

Citations

3

Chaotic Dynamics Analysis and FPGA Implementation Based on Gauss Legendre Integral DOI Creative Commons
Wen Li, Li Cui, Hairong Lin

et al.

Mathematics, Journal Year: 2025, Volume and Issue: 13(2), P. 201 - 201

Published: Jan. 9, 2025

In this paper, we first design the corresponding integration algorithm and matlab program according to Gauss–Legendre principle. Then, select Lorenz system, Duffing hidden attractor chaotic system Multi-wing for dynamics analysis. We apply integral Runge–Kutta solution of dissipative systems time analyze compare differences between two algorithms. propose a basin attraction estimation method based on Lyapunov exponent decision criterion method. This can better obtain region distinguish pseudo-attractor, which provides new way Finally, use FPGA technology realize four algorithm.

Language: Английский

Citations

0

Analysis of Hopf bifurcation and time-delayed control in multi-scroll chaotic attractors produced by parallel transformation DOI
Zaamoune Faiza, Tidjani Menacer, René Lozi

et al.

International Journal of Dynamics and Control, Journal Year: 2025, Volume and Issue: 13(2)

Published: Jan. 25, 2025

Language: Английский

Citations

0

Discrete-time fractional-order local active memristor-based Hopfield neural network and its FPGA implementation DOI
Chunhua Wang,

Yufei Li,

Quanli Deng

et al.

Chaos Solitons & Fractals, Journal Year: 2025, Volume and Issue: 193, P. 116053 - 116053

Published: Feb. 6, 2025

Language: Английский

Citations

0

Memristive multi-wing chaotic hopfield neural network for LiDAR data security DOI
Quanli Deng, Chunhua Wang, Yichuang Sun

et al.

Nonlinear Dynamics, Journal Year: 2025, Volume and Issue: unknown

Published: Feb. 20, 2025

Language: Английский

Citations

0

A Wide-Range Adjustable Conservative Memristive Hyperchaotic System with Transient Quasi-Periodic Characteristics and Encryption Application DOI Creative Commons
Fei Yu, Boon Thong Tan, Ting He

et al.

Mathematics, Journal Year: 2025, Volume and Issue: 13(5), P. 726 - 726

Published: Feb. 24, 2025

In comparison with dissipative chaos, conservative chaos is better equipped to handle the risks associated reconstruction of phase space due absence attractors. This paper proposes a novel five-dimensional (5D) memristive hyperchaotic system (CMHS), by incorporating memristors into four-dimensional (4D) chaotic (CCS). We conducted comprehensive analysis, using Lyapunov exponent diagrams, bifurcation portraits, equilibrium points, and spectral entropy maps thoroughly verify system’s properties. The exhibited characteristics such as hyperchaos multi-stability over an ultra-wide range parameters initial values, accompanied transient quasi-periodic phenomena. Subsequently, pseudorandom sequences generated new were tested demonstrated excellent performance, passing all tests set National Institute Standards Technology (NIST). final stage research, image-encryption application based on 5D CMHS was proposed. Through security feasibility algorithm confirmed.

Language: Английский

Citations

0

Asymmetric coupling of nonchaotic Rulkov neurons: Fractal attractors, quasimultistability, and final state sensitivity DOI

Brandon B. Le

Physical review. E, Journal Year: 2025, Volume and Issue: 111(3)

Published: March 3, 2025

Although neuron models have been well studied for their rich dynamics and biological properties, limited research has done on the complex geometries that emerge from basins of attraction basin boundaries multistable systems. In this paper, we investigate geometrical properties strange attractors, four-dimensional basins, fractal an asymmetrically electrically coupled system two identical nonchaotic Rulkov neurons. We discover a quasimultistability in emerging existence chaotic spiking-bursting pseudo-attractor, classify quantify system's attraction, which are found to geometries. Using method uncertainty exponents, also find exhibits extreme final state sensitivity, results dynamical could important applications neurobiology.

Language: Английский

Citations

0

Adaptive Asymptotic Shape Synchronization of a Chaotic System with Applications for Image Encryption DOI Creative Commons

YL Luo,

Yuanyuan Huang, Fei Yu

et al.

Mathematics, Journal Year: 2024, Volume and Issue: 13(1), P. 128 - 128

Published: Dec. 31, 2024

In contrast to previous research that has primarily focused on distance synchronization of states in chaotic systems, shape emphasizes the geometric attractors two systems. Diverging from existing work synchronization, this paper introduces application adaptive control methods achieve asymptotic for first time. By designing an controller using proposed rule, response system under is able attain with drive system. This method capable achieving models parameters requiring estimation both and The approach remains effective even presence uncertainties model parameters. presents relevant theorems proofs, simulation results demonstrate effectiveness synchronization. Due pseudo-random nature systems their extreme sensitivity initial conditions, which make them suitable information encryption, a novel channel-integrated image encryption scheme proposed. leverages generate sequences, are then used shuffling, scrambling, diffusion processes. Simulation experiments algorithm achieves exceptional performance terms correlation metrics entropy, competitive value 7.9971. Robustness further validated through key space analysis, yielding 10210×2512, as well visual tests, including center edge cropping. confirm context encryption.

Language: Английский

Citations

1