A Self-Reproduction Hyperchaotic Map With Compound Lattice Dynamics

Li, Yongxin; Li, Chunbiao; Zhang, Sen; Chen, Guanrong Ron; Zeng, Zhigang

doi:10.1109/tie.2022.3144592

Cited by 82 publications

(15 citation statements)

References 34 publications

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“…The variation of the function |x| with x is as shown in figure 23(a)(i). Equation (22) can be solved explicitly in each of the piecewise-linear regions as given in equation (23).…”

Section: Analytical Resultsmentioning

confidence: 99%

“…The present work is focused on designing a class of second-order circuit systems with Sprott type simple nonlinear elements that exhibit chaos. Multistability is a situation in which a nonlinear system display several coexisting states for fixed set of system parameters but starting from different initial conditions [22,23]. Since its discovery by Arecchi et al [24], it has been reported in several biological [25], mechanical [26] and electronic [27] systems.…”

Section: Introductionmentioning

confidence: 99%

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Energy computation and multistability in a class of second-order chaotic systems with simple nonlinearities: numerical, experimental and analytical results

Sivaganesh¹,

Srinivasan²,

Fozin³

et al. 2022

Phys. Scr.

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The present work is aimed at the design, implementation and analysis of generic new second-order non-autonomous chaotic systems with simple nonlinear functions that have algebraically simple representations in mathematical form. These systems involve simple second-order non-autonomous ordinary differential equations with different simple nonlinearities like $G(x) (= x^2, |x|, max(x)$ and $min(x))$. The present study deals with numerical simulation, experimental analog circuit simulation results to demonstrate the ordered and chaotic phenomena being exhibited by these systems. Of most interest the striking phenomenon of multistability is uncovered for certain nonlinearities. Coexisting attractors are harnessed through the offset boosting approach. Also, the Hamilton energy is established through the Helmholtz theorem. It is found that both methods can be exploited as a non-bifurcation approach in characterizing multistability in the model. Further, analytical solutions developed for systems with certain nonlinearities are presented and the chaotic behavior of the systems studied using the solutions validating the numerical and experimental results are reported.

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“…The variation of the function |x| with x is as shown in figure 23(a)(i). Equation (22) can be solved explicitly in each of the piecewise-linear regions as given in equation (23).…”

Section: Analytical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Energy computation and multistability in a class of second-order chaotic systems with simple nonlinearities: numerical, experimental and analytical results

Sivaganesh¹,

Srinivasan²,

Fozin³

et al. 2022

Phys. Scr.

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show abstract

“…With the rapid development of internet technology, digital image processing, the transmission security of information has attracted much attention [1][2][3][4][5]. Various digital image encryption technologies have already been proposed over the last decades [6][7][8][9], such as AES, RSA, and DES [10,11].…”

Section: Introductionmentioning

confidence: 99%

A Henon-like chaotic map and its application in image encryption combined with compressed sensing

Li¹,

Bi²,

Li³

et al. 2022

Phys. Scr.

Self Cite

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A new method of color image encryption is proposed in this paper, with the combination of a two-dimensional (2D) Henon-like chaotic map and compressed sensing for better performance. A sinusoidal function is introduced into the 2D Henon map for increasing randomness. Image encryption algorithm includes three procedures: compression of a color image through the Bernoulli observation matrix, encryption of the compressed image by 2D-Henon map with sinusoidal factor, and reconstruction of color image based on compressed sensing algorithm of orthogonal matching pursuit (OMP). Numerical simulation shows that the proposed encryption algorithm has some advantages including being hardware-friendly, sufficient keyspace, and higher security.

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“…Chaos, as a nonlinear system, has seemingly random irregular motions [29][30][31], and the behavior of chaos is uncertain, unrepeatable, and unpredictable, which makes chaos and cryptography have many natural connections [32][33][34][35][36]. Therefore, many image encryption algorithms are proposed based on chaos.…”

Section: Introductionmentioning

confidence: 99%

1D Sine-Map-Coupling-Logistic-Map for 3D model encryption

Wang²,

Zhang³

2022

Front. Phys.

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With the rise of technologies of VR technology, AR technology, and 3D printing, the application of 3D models has become more and more extensive. The data of the 3D model is the floating point and has a unique storage format, and the traditional 2D image encryption algorithms are unsuitable for 3D models. Therefore, based on 1D Sine-Map-Coupling-Logistic-Map (1D-SMCLM), a 3D model encryption algorithm is designed in this paper. The 1D-SMCLM is a new chaotic system with large parameter space and good chaotic characteristics. The keystream generated by the 1D-SMCLM has good randomness and is very suitable for cryptographic systems. In the new encryption algorithm (SMCLM-3ME), the vertices of the 3D models are divided into integer and decimal vertices. The integer part is encrypted by the strategy of simultaneous scrambling and diffusion. The 3D ciphertext model is obtained by combining the integer and fractional parts. Experimental results show that the SMCLM-IE exhibits excellent performance.

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A Self-Reproduction Hyperchaotic Map With Compound Lattice Dynamics

Cited by 82 publications

References 34 publications

Energy computation and multistability in a class of second-order chaotic systems with simple nonlinearities: numerical, experimental and analytical results

Energy computation and multistability in a class of second-order chaotic systems with simple nonlinearities: numerical, experimental and analytical results

A Henon-like chaotic map and its application in image encryption combined with compressed sensing

1D Sine-Map-Coupling-Logistic-Map for 3D model encryption

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