Buffeting Chaotification Model for Enhancing Chaos and Its Hardware Implementation

Zhang, Zhiqiang; Zhu, Hong; Ban, Pengxin; Wang, Yong; Zhang, Leo Yu

doi:10.1109/tie.2022.3174288

Cited by 12 publications

(6 citation statements)

References 41 publications

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“…Proof. This proof is inspired by (Zhang et al 2022;. Consider two initial conditions y 0 and x 0 , where x 0 differs from y 0 by a small number ϵ > 0.…”

Section: Lyapunov Exponent Analysismentioning

confidence: 99%

“…To do so, the goal is to prove that a chaotification model can achieve higher Lyapunov exponent values than the existing chaotic maps, and verify that with numerical experiments. Such examples are to combine any map with a cosine function (Natiq et al 2019), a sine function (Hua et al 2018), a sine and cosecant functions , a cascade sine operation (Wu 2021), an internal perturbation model (Dong et al 2021), a remainder operation addition (Moysis et al 2022b), or the modulo operator, which has been shown to be effective in improving chaotic behavior (Ablay 2022;Zhang et al 2022).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Chaotification Model Based on Modulo Operator and Secant Functions for Enhancing Chaos

Charalampidis

Volos

Moysis

et al. 2022

Chaos Theory and Applications

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Many drawbacks in chaos-based applications emerge from the chaotic maps' poor dynamic properties. To address this problem, in this paper a chaotification model based on modulo operator and secant functions to augment the dynamic properties of existing chaotic maps is proposed. It is demonstrated that by selecting appropriate parameters, the resulting map can achieve a higher Lyapunov exponent than its seed map. This chaotification method is applied to several well-known maps from the literature, and it produces increased chaotic behavior in all cases, as evidenced by their bifurcation and Lyapunov exponent diagrams. Furthermore, to illustrate that the proposed chaotification model can be considered in chaos-based encryption and related applications, a voice signal encryption process is considered, and different tests are being used with respect to attacks, like brute force, entropy, correlation, and histogram analysis.

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“…Proof. This proof is inspired by (Zhang et al 2022;. Consider two initial conditions y 0 and x 0 , where x 0 differs from y 0 by a small number ϵ > 0.…”

Section: Lyapunov Exponent Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Chaotification Model Based on Modulo Operator and Secant Functions for Enhancing Chaos

Charalampidis

Volos

Moysis

et al. 2022

Chaos Theory and Applications

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show abstract

“…Due to the simple structure and low implementation cost of LD chaotic maps, they have received widespread attention. Zhang et al [26] introduced a buffer operator into existing one-dimensional (1D) chaotic map, effectively increasing the complexity of the system. Yuan et al [27] cascaded multiple chaotic maps, expanding the parameter space, and greatly improving the LE of the system.…”

Section: Introductionmentioning

confidence: 99%

The hyperbolic sine chaotification model and its applications

Li,

Sun,

Wang

et al. 2024

Phys. Scr.

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Some existing chaotic systems suffer from issues such as period windows, discontinuous parameter ranges, and dynamical degradation, which seriously limit their application. Therefore, designing high-performance anti-degradation chaotic systems is of great significance. In this paper, a novel hyperbolic sine chaotification model (HSCM) is proposed. It allows for the use of any chaotic maps or linear functions as the seed maps, and employs a closed-loop modulation coupling (CMC) method to extend it to high-dimensional (HD) chaotic maps. Theoretical and experimental results show that this model can effectively improve the Lyapunov exponent (LE) of the seed chaotic map and expand the parameter ranges. In addition, it can also resist the dynamical degradation under finite computational precision. Based on the HSCM, a novel eight-dimensional (8D) HSCM is designed, and implemented through field-programmable gate array (FPGA) in both serial and parallel modes, respectively. Furthermore, the novel chaotic maps are applied to pseudo-random sequence generator (PRNG) and image compression under finite computing precision. Experimental results indicate that the novel chaotification model has greatly broad application prospects.

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“…Given the limitations of classical chaotic systems, there are also many researchers dedicated to creating novel chaotic systems that can better fulfill the requirements of image encryption [ 16 , 21 , 23 , 24 , 25 , 26 , 27 , 28 , 29 ]. In [ 23 ], Hua et al suggested a two-dimensional (2D) modular chaotification system (2D-MCS) to enhance the chaotic performance of existing maps.…”

Section: Introductionmentioning

confidence: 99%

“…This model can convert any two one-dimensional (1D) chaotic maps into 2D chaotic maps with uniform trajectory distributions and better chaotic performance. Similarly, by introducing a so-called buffeting parameter, Zhang et al [ 25 ] suggested a buffeting chaotification model (BCM). In [ 26 ], based on the classic Hénon map, a 2D parametric polynomial chaotic system (2D-PPCS) was constructed.…”

Section: Introductionmentioning

confidence: 99%

Exploiting Dynamic Vector-Level Operations and a 2D-Enhanced Logistic Modular Map for Efficient Chaotic Image Encryption

Li,

Yu,

Feng

et al. 2023

Entropy

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Over the past few years, chaotic image encryption has gained extensive attention. Nevertheless, the current studies on chaotic image encryption still possess certain constraints. To break these constraints, we initially created a two-dimensional enhanced logistic modular map (2D-ELMM) and subsequently devised a chaotic image encryption scheme based on vector-level operations and 2D-ELMM (CIES-DVEM). In contrast to some recent schemes, CIES-DVEM features remarkable advantages in several aspects. Firstly, 2D-ELMM is not only simpler in structure, but its chaotic performance is also significantly better than that of some newly reported chaotic maps. Secondly, the key stream generation process of CIES-DVEM is more practical, and there is no need to replace the secret key or recreate the chaotic sequence when handling different images. Thirdly, the encryption process of CIES-DVEM is dynamic and closely related to plaintext images, enabling it to withstand various attacks more effectively. Finally, CIES-DVEM incorporates lots of vector-level operations, resulting in a highly efficient encryption process. Numerous experiments and analyses indicate that CIES-DVEM not only boasts highly significant advantages in terms of encryption efficiency, but it also surpasses many recent encryption schemes in practicality and security.

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Buffeting Chaotification Model for Enhancing Chaos and Its Hardware Implementation

Cited by 12 publications

References 41 publications

A Chaotification Model Based on Modulo Operator and Secant Functions for Enhancing Chaos

A Chaotification Model Based on Modulo Operator and Secant Functions for Enhancing Chaos

The hyperbolic sine chaotification model and its applications

Exploiting Dynamic Vector-Level Operations and a 2D-Enhanced Logistic Modular Map for Efficient Chaotic Image Encryption

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