A New Hyperchaotic 4D-FDHNN System with Four Positive Lyapunov Exponents and Its Application in Image Encryption

Liu, Zefei; Li, Jinqing; Di, Xiaoqiang

doi:10.3390/e24070900

Cited by 6 publications

(4 citation statements)

References 48 publications

(44 reference statements)

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“…The decrypted images are shown in Figure 15(a1-b3) with a slight change of the secret key. Despite the fact that the secret key has been changed a little (10)(11)(12)(13)(14)(15)(16), the decrypted images are completely different from the original image. Figure 15(c1-c3) shows the decrypted image with the correct secret key.…”

Section: Application In a Color Cryptosystemmentioning

confidence: 99%

“…Since the HNN was proposed, various HNNs have been proposed and their chaotic behaviors studied. For example, normal chaos [ 9 , 10 , 11 ] and hyperchaos [ 12 , 13 , 14 ] have been detected in some small HNNs with several neurons. Especially in recent years, memristive neural networks have received much attention from many scholars [ 15 , 16 ].…”

Section: Introductionmentioning

confidence: 99%

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Star Memristive Neural Network: Dynamics Analysis, Circuit Implementation, and Application in a Color Cryptosystem

Fu,

Yao,

Qian

et al. 2023

Entropy

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At present, memristive neural networks with various topological structures have been widely studied. However, the memristive neural network with a star structure has not been investigated yet. In order to investigate the dynamic characteristics of neural networks with a star structure, a star memristive neural network (SMNN) model is proposed in this paper. Firstly, an SMNN model is proposed based on a Hopfield neural network and a flux-controlled memristor. Then, its chaotic dynamics are analyzed by using numerical analysis methods including bifurcation diagrams, Lyapunov exponents, phase plots, Poincaré maps, and basins of attraction. The results show that the SMNN can generate complex dynamical behaviors such as chaos, multi-scroll attractors, and initial boosting behavior. The number of multi-scroll attractors can be changed by adjusting the memristor’s control parameters. And the position of the coexisting chaotic attractors can be changed by switching the memristor’s initial values. Meanwhile, the analog circuit of the SMNN is designed and implemented. The theoretical and numerical results are verified through MULTISIM simulation results. Finally, a color image encryption scheme is designed based on the SMNN. Security performance analysis shows that the designed cryptosystem has good security.

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Section: Application In a Color Cryptosystemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Star Memristive Neural Network: Dynamics Analysis, Circuit Implementation, and Application in a Color Cryptosystem

Fu,

Yao,

Qian

et al. 2023

Entropy

View full text Add to dashboard Cite

show abstract

“…Zhouyi Hu and Chun-Kit Chan 2018 [22] suggested a 7-dimensional (7-D) hyperchaotic system with five positive Lyapunov exponents is created to satisfy the requirements of this encryption scheme and further increase security. Walsh-Hadamard transform (WHT) is utilized along with the discrete cosine transform (DCT) in this system to simultaneously expand key space and decrease computation complexity.Using four positive Lyapunov exponents, a hyperchaotic four dimensional fractional discrete Convolutional neural network system(4DFDHNN) is developed in [18] by Liu, Zefei 2021 [21]…”

Section: Related Workmentioning

confidence: 99%

Hyperchaotic technology-based efficient image encryption algorithm an overview.

Khalaf,

Sagheer

2023

JUAPS

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Multimedia data encryption is so crucial because the multimedia encryption algorithm needs more time and memory, and it is difficult to implement. Because of this, the hyperchaotic image encryption technique is becoming more and more popular, which uses little memory, time, or energy and offers the highest level of security for low-powered devices. This study offers a comprehensive overview of modern hyperchaotic systems. By focusing on these complex systems' uniqueness and fundamental features, a study of their dynamic behavior is offered. Such systems are now being used more and more in a variety of industries, including finance, secure communication, and encryption, for example. In reality, every field calls for particular performances of unusual complexity. This research then suggests a specific classification based on the crucial hyperchaotic characteristic, Lyapunov exponent, the equilibrium points, dynamical behavior, NPCR, and UACI.. .

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“…Many other researchers [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48] have proposed chaos-based S-Box construction techniques using other concepts. Despite the fact that chaotic maps are frequently utilized to construct S-Boxes, these maps also have accompanying shortcomings [49].…”

Section: Introductionmentioning

confidence: 99%

Dynamic S-Box Generation Using Novel Chaotic Map with Nonlinearity Tweaking

Zahid¹,

Arshad²,

Ahmad³

et al. 2023

Computers, Materials &Amp; Continua

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A substitution box (S-Box) is a crucial component of contemporary cryptosystems that provide data protection in block ciphers. At the moment, chaotic maps are being created and extensively used to generate these S-Boxes as a chaotic map assists in providing disorder and resistance to combat cryptanalytical attempts. In this paper, the construction of a dynamic S-Box using a cipher key is proposed using a novel chaotic map and an innovative tweaking approach. The projected chaotic map and the proposed tweak approach are presented for the first time and the use of parameters in their working makes both of these dynamic in nature. The tweak approach employs cubic polynomials while permuting the values of an initial S-Box to enhance its cryptographic fort. Values of the parameters are provided using the cipher key and a small variation in values of these parameters results in a completely different unique S-Box. Comparative analysis and exploration confirmed that the projected chaotic map exhibits a significant amount of chaotic complexity. The security assessment in terms of bijectivity, nonlinearity, bits independence, strict avalanche, linear approximation probability, and differential probability criteria are utilized to critically investigate the effectiveness of the proposed S-Box against several assaults. The proposed S-Box's cryptographic performance is comparable to those of recently projected S-Boxes for its adaption in real-world security applications. The comparative scrutiny pacifies the genuine potential of the proposed S-Box in terms of its applicability for data security.

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A New Hyperchaotic 4D-FDHNN System with Four Positive Lyapunov Exponents and Its Application in Image Encryption

Cited by 6 publications

References 48 publications

Star Memristive Neural Network: Dynamics Analysis, Circuit Implementation, and Application in a Color Cryptosystem

Star Memristive Neural Network: Dynamics Analysis, Circuit Implementation, and Application in a Color Cryptosystem

Hyperchaotic technology-based efficient image encryption algorithm an overview.

Dynamic S-Box Generation Using Novel Chaotic Map with Nonlinearity Tweaking

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