FPGA-Based Implementation and Synchronization Design of a New Five-Dimensional Hyperchaotic System

Wang, Ya; Li, Xinyu; Li, Xiaodong; Guang, Yerui; Wu, Yue; Ding, Qun

doi:10.3390/e24091179

Cited by 7 publications

(3 citation statements)

References 22 publications

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“…This makes the discrete chaotic system show dynamical characteristics closer to the system (2). The same to the other work [52,53], this paper adapts Euler's algorithm to discretize the system (2), which is described by:…”

Section: Fpga Implementationmentioning

confidence: 97%

Dynamic Analysis and FPGA Implementation of a New Linear Memristor-Based Hyperchaotic System with Strong Complexity

Chen,

Yu,

Luo

et al. 2024

Mathematics

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Chaotic or hyperchaotic systems have a significant role in engineering applications such as cryptography and secure communication, serving as primary signal generators. To ensure stronger complexity, memristors with sufficient nonlinearity are commonly incorporated into the system, suffering a limitation on the physical implementation. In this paper, we propose a new four-dimensional (4D) hyperchaotic system based on the linear memristor which is the most straightforward to implement physically. Through numerical studies, we initially demonstrate that the proposed system exhibits robust hyperchaotic behaviors under typical parameter conditions. Subsequently, we theoretically prove the existence of solid hyperchaos by combining the topological horseshoe theory with computer-assisted research. Finally, we present the realization of the proposed hyperchaotic system using an FPGA platform. This proposed system possesses two key properties. Firstly, this work suggests that the simplest memristor can also induce strong nonlinear behaviors, offering a new perspective for constructing memristive systems. Secondly, compared to existing systems, our system not only has the largest Kaplan-Yorke dimension, but also has clear advantages in areas related to engineering applications, such as the parameter range and signal bandwidth, indicating promising potential in engineering applications.

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Section: Fpga Implementationmentioning

confidence: 97%

Dynamic Analysis and FPGA Implementation of a New Linear Memristor-Based Hyperchaotic System with Strong Complexity

Chen,

Yu,

Luo

et al. 2024

Mathematics

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“…The use of hyperchaotic systems instead of simple chaotic systems can improve the security, key space and computational efficiency to encryption schemes. Wang et al [28] modified the four-dimensional smooth autonomous system proposed by Qi [29], added dimensionality and nonlinear terms to obtain a 5D smooth cubic autonomous hyperchaotic system. This system is shown in equation where x, y, z, w and v are state variables.…”

Section: Preliminariesmentioning

confidence: 99%

A novel color image encryption scheme using elliptic curve cryptography and hyperchaotic system

Fang,

Zhao,

Liang

2023

Phys. Scr.

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This paper develops an asymmetric color image encryption algorithm based on elliptic curvecryptography(ECC), five dimensions(5D) hyperchaotic system, and DNA dynamic coding. To embedthe characteristics of original image in the image encryption algorithm, this algorithm builds amathematical model to strengthen the connection between the original image, elliptic curve Diffie-Hellman(ECDH) algorithm and hyperchaotic system. The red, green and blue(RGB) channels ofencrypted image is reshaped into a three dimensions(3D) matrix. Grouping and scrambling of 3Dmatrix is accomplished at pixel level, bit level and DNA level based on a 5D hyperchaotic system,which effectively enhances the cross-layer variation of images. Then, improved ECC is performed onthe scrambled image where multiple elliptic curves and dynamic shared private keys can guaranteethe forward secrecy of the image encryption algorithm. At last, the image is performed diffusion toobtain the final encrypted image. Simulation results and security analysis both indicate the imageencryption algorithm has better performances in terms of key space, Shannon entropy, clipping attackresistance, etc.

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“…Since Rŏssler discovered the first hyperchaotic system 1 in 1979, the evolution of hyperchaotic systems [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] from discovery to application has encompassed multiple stages, including theoretical research, numerical simulation, experimental validation, and application exploration. Initially, researchers extended and improved chaotic systems to derive hyperchaotic system [3][4][5][6][11][12][13][14][15][16][17] models with higher dimensions and more complex dynamics.…”

Section: Introductionmentioning

confidence: 99%

A new hyperchaotic system with dynamical analysis and its application in image encryption based on STM32

Cheng,

Zhu,

Liu

2023

Preprint

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This paper proposes a new 4D hyperchaotic system based on a modified 3D Lorenz chaotic system. The stability of equilibrium points in this hyperchaotic system is analyzed, with a notable feature being the presence of only one equilibrium point. Subsequently, dynamic characteristics of the new system, such as Lyapunov exponents' spectrum, bifurcation diagram, and chaotic attractors, are analyzed using MATLAB numerical simulation software. The numerical analysis indicates that the hyperchaotic system exhibits hyperchaotic characteristics over a wide range of parameterdvalues, and its chaotic attractor manifests four states: hyperchaotic, chaotic, periodic, and quasi-periodic. This illustrates the complex dynamic behavior of the hyperchaotic system. Experimental validation is then conducted using embedded hardware STM32, reproducing the four types of chaotic attractors observed in numerical analysis and confirming the accuracy of theoretical analysis. The proposed new hyperchaotic system is deemed effective and reliable. Finally, the system is applied to image encryption, presenting a novel encryption method based on the hyperchaotic system. The designed hyperchaotic encryption sequence satisfies 15 tests of the NIST SP800-22 standard, and experimental verification using STM32 demonstrates the effectiveness, simplicity, non-linearity, and high security of the proposed image encryption algorithm. This method can be extended to applications such as audio encryption, image encryption, video encryption, and other fields.

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FPGA-Based Implementation and Synchronization Design of a New Five-Dimensional Hyperchaotic System

Cited by 7 publications

References 22 publications

Dynamic Analysis and FPGA Implementation of a New Linear Memristor-Based Hyperchaotic System with Strong Complexity

Dynamic Analysis and FPGA Implementation of a New Linear Memristor-Based Hyperchaotic System with Strong Complexity

A novel color image encryption scheme using elliptic curve cryptography and hyperchaotic system

A new hyperchaotic system with dynamical analysis and its application in image encryption based on STM32

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