The Establishment and Dynamic Properties of a New 4D Hyperchaotic System with Its Application and Statistical Tests in Gray Images

Ding, Ling; Ding, Qun

doi:10.3390/e22030310

Cited by 18 publications

(10 citation statements)

References 55 publications

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“…[12],and Ref. [13]as shown in Figure 2. It can be seen from the Figure 2 that the transition from periodic state to chaotic state appears of the new hyperchaotic system (2).…”

Section: ) Bifurcation Diagrammentioning

confidence: 99%

“…According to their dimensions, existing chaotic systems can be divided into low-dimensional chaotic systems and high-dimensional chaotic systems [9][10][11][12][13][14][15]. The author of [9] presented a four-dimensional quadratic autonomous hyperchaotic system based on the Lorenz system, which has only one hyperchaotic attractor.…”

Section: Introductionmentioning

confidence: 99%

“…The authors of [12] presented a new fourdimensional chaotic system with multi-wing and coexisting attractors and simulated its circuit. The authors of [13] presented a new four-dimensional hyperchaotic system and applied it to image encryption. The authors of [14]- [15] presented an image encryption algorithm based on sixdimensional and seven-dimensional hyperchaotic systems, which has large secret key spaces.…”

Section: Introductionmentioning

confidence: 99%

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A Novel Chaotic Block Image Encryption Algorithm Based on Deep Convolutional Generative Adversarial Networks

Fang

Liu

2021

IEEE Access

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This paper proposes a novel chaotic block image encryption algorithm based on deep convolutional generative adversarial networks (DCGANs), quaternions, an improved Feistel network, and an overall scrambling and diffusion mechanism. First, a new hyperchaotic system is introduced and combined with DCGANs to generate a random sequence with better randomness and complexity as a key stream. This sequence is then combined with a quaternion and an improved Feistel network encryption of a colour plaintext image by utilizing the key block matrix to ultimately achieve overall scrambling and diffusion of the cipher image. Finally, the security of this algorithm is quantitatively and qualitatively analysed. The simulation results show that the proposed hyperchaotic system has a large key space and good random characteristics and that the new algorithm yields adequate security and can resist brute-force attacks and chosen-plaintext attacks. Therefore, this approach provides a new way to achieve secure transmission and protection of image information. INDEX TERMS Image encryption, chaotic system, deep convolutional generative adversarial networks.

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“…[12],and Ref. [13]as shown in Figure 2. It can be seen from the Figure 2 that the transition from periodic state to chaotic state appears of the new hyperchaotic system (2).…”

Section: ) Bifurcation Diagrammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Novel Chaotic Block Image Encryption Algorithm Based on Deep Convolutional Generative Adversarial Networks

Fang

Liu

2021

IEEE Access

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“…It is possible to find at least 35 works [ 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65 , 66 , 67 , 68 , 69 , 70 , 71 , 72 , 73 , 74 , 75 , 76 , 77 , 78 , 79 , 80 , 81 , 82 , 83 , 84 , 85 , 86 , 87 , 88 , 89 , 90 , 91 ] in the Entropy journal that relate chaos theory in different areas; however, there are only five articles, from all areas, where reproducibility was mentioned [ 92 , 93 , 94 , 95 , 96 ]. From those aforementioned papers, only Funabashi [ 95 ] presented some slight relationship with the reproducibility of nonlinear dynamics fields.…”

Section: Related Workmentioning

confidence: 99%

A Note on the Reproducibility of Chaos Simulation

Nazare

Nepomuceno

Martins

et al. 2020

Entropy

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An evergreen scientific feature is the ability for scientific works to be reproduced. Since chaotic systems are so hard to understand analytically, numerical simulations assume a key role in their investigation. Such simulations have been considered as reproducible in many works. However, few studies have focused on the effects of the finite precision of computers on the simulation reproducibility of chaotic systems; moreover, code sharing and details on how to reproduce simulation results are not present in many investigations. In this work, a case study of reproducibility is presented in the simulation of a chaotic jerk circuit, using the software LTspice. We also employ the OSF platform to share the project associated with this paper. Tests performed with LTspice XVII on four different computers show the difficulties of simulation reproducibility by this software. We compare these results with experimental data using a normalised root mean square error in order to identify the computer with the highest prediction horizon. We also calculate the entropy of the signals to check differences among computer simulations and the practical experiment. The methodology developed is efficient in identifying the computer with better performance, which allows applying it to other cases in the literature. This investigation is fully described and available on the OSF platform.

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“…Chaotic systems have long been a subject of concern in academic and industrial fields [ 1 , 2 ]. Due to the advantages of the ergodicity, unpredictability, pseudo-randomness and initial value sensitivity [ 3 , 4 ], chaotic systems fit well to various chaos-based image encryptions [ 5 , 6 ] and secure communications [ 7 ].…”

Section: Introductionmentioning

confidence: 99%

Coexisting Infinite Orbits in an Area-Preserving Lozi Map

Chen

et al. 2020

Entropy

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Extreme multistability with coexisting infinite orbits has been reported in many continuous memristor-based dynamical circuits and systems, but rarely in discrete dynamical systems. This paper reports the finding of initial values-related coexisting infinite orbits in an area-preserving Lozi map under specific parameter settings. We use the bifurcation diagram and phase orbit diagram to disclose the coexisting infinite orbits that include period, quasi-period and chaos with different types and topologies, and we employ the spectral entropy and sample entropy to depict the initial values-related complexity. Finally, a microprocessor-based hardware platform is developed to acquire four sets of four-channel voltage sequences by switching the initial values. The results show that the area-preserving Lozi map displays coexisting infinite orbits with complicated complexity distributions, which heavily rely on its initial values.

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The Establishment and Dynamic Properties of a New 4D Hyperchaotic System with Its Application and Statistical Tests in Gray Images

Cited by 18 publications

References 55 publications

A Novel Chaotic Block Image Encryption Algorithm Based on Deep Convolutional Generative Adversarial Networks

A Novel Chaotic Block Image Encryption Algorithm Based on Deep Convolutional Generative Adversarial Networks

A Note on the Reproducibility of Chaos Simulation

Coexisting Infinite Orbits in an Area-Preserving Lozi Map

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