A New 4D Hyperchaotic System and Its Analog and Digital Implementation

Méndez-Ramírez, Rodrigo; Arellano-Delgado, Adrian; Murillo-Escobar, Miguel Ángel; Cruz-Hernández, C.

doi:10.3390/electronics10151793

Cited by 19 publications

(13 citation statements)

References 35 publications

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“…The 4D hyperchaotic system [21] that we have used to generate the chaotic sequences for the diffusion of the pixel information is given by equation (1). This system shows chaotic behavior for the values of its four control parameters: a = 2, b = 2, c = 0.5, and d = 14.5.…”

Section: D Hyperchaotic Systemmentioning

confidence: 99%

A Novel Image Encryption Technique with Four Stage Bit-Interspersing and A 4D-Hyperchaotic System

Pal¹,

Mahanty

Pathak

et al. 2023

ECTI-CIT Transactions

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This paper introduces a new technique of color image encryption that includes four stages of bit interspersing and a 4D-hyperchaotic system. At first, the pixel values for different RGB channels of a plane color image were represented by an 8-bit binary number. The bit interspersing operation has been implemented on the bit stream generated by considering a particular block size for each color channel and reshaping it to the original size. The cipher image was then constructed by performing a bit XOR operation on the resultant image and the chaotic sequences generated by a 4D hyperchaotic system. The initial state variables of the said chaotic system have been developed from a 32-character secret key. This operation has been repeated three times, considering different block sizes of the newly generated cipher image after each stage. The main strengths of the proposed algorithm are the bit interspersing and image-dependent chaotic key base pixel substitution by bitwise XOR operation. A set of standard security tests are conducted to test the reliability of the suggested encryption method. Comparing the crypto-parameters to other recent works, we find that the proposed algorithm is better than the other methods.

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Section: D Hyperchaotic Systemmentioning

confidence: 99%

A Novel Image Encryption Technique with Four Stage Bit-Interspersing and A 4D-Hyperchaotic System

Pal¹,

Mahanty

Pathak

et al. 2023

ECTI-CIT Transactions

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“…Using Matlab, we calculated the Lyapunov exponents of the 5-D system (1) for the initial state Z(0) = (1, 1, 1, 1, 1), (a, b, c, d) = (40,90,16,15) and T = 1E5 seconds as…”

Section: B Dynamic Properties Of the New Systemmentioning

confidence: 99%

“…The circuit is simulated using the simulation program with integrated circuit emphasis (SPICE), and also, the authors implement the chaotic system using Arduino UNO board that is based on a microcontroller. In a similar way, the authors in [16], introduce a new 4D hyperchaotic system showing its analog and digital Implementation. The analog implementation is performed using amplifiers, and the digital im-plementation using a Digital Signal Processor (DSP), which showed good agreement with simulation results.…”

Section: Introductionmentioning

confidence: 98%

A New 5-D Multistable Hyperchaotic System With Three Positive Lyapunov Exponents: Bifurcation Analysis, Circuit Design, FPGA Realization and Image Encryption

et al. 2022

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In this work, we describe the model of a new 5-D hyperchaotic system with three positive Lyapunov exponents. Since the maximum positive Lyapunov exponent of the proposed hyperchaotic system is larger than twelve, the new hyperchaotic system is highly hyperchaotic. We also show that the new 5-D hyperchaotic system exhibits multistability with coexisting attractors. Using Multisim, we design an electronic circuit for the new 5-D hyperchaotic system. The hardware implementation of the new 5-D hyperchaotic system is done by applying two numerical methods. From the experimental results of the FPGA-based implementation, we show that the attractors observed in a Lecroy oscilloscope are in good agreement with numerical simulations. To prove the reliability of the proposed system for cybersecurity purposes, we presented a new image cryptosystem using our hyperchaotic system. Experimental outcomes show the efficiency and the reliability of our cryptosystem based on the proposed hyperchaotic system.INDEX TERMS Hyperchaos, bifurcations, multi-stability, attractors, Lyapunov exponents, circuit design, FPGA, numerical methods, data security; image cryptosystem.

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“…Over the past 40 years, research on hyperchaotic systems [1][2][3][4][5][6] has maintained a steady pace since the first such system was reported by Rŏssler. Recently, a large number of different hyperchaotic systems have been proposed, and due to their more complex dynamics, they have found widespread applications in electronics, communications, information processing, neuroscience, and other fields, including image [29][30][31][32][33][34][35][36][37][38][39][40][41] , audio [42][43][44][45][46] , and video [47][48][49][50][51][52][53] encryption, and secure communication [54][55][56][57][58][59][60][61][62][63] .…”

Section: Introductionmentioning

confidence: 99%

Dynamics, Circuit Design, Feedback Control of a New Hyperchaotic System and Its Application in Audio Encryption

Liu

Cheng

2023

Preprint

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In this study, a new 4D hyperchaotic system is developed from the 3D Lü chaotic system. The dynamic characteristics of the proposed hyperchaotic system are analyzed using chaotic attractors, equilibrium point stability, Lyapunov exponents’ spectrum, and bifurcation diagrams. Additionally, a linear feedback control method is employed to design the feedback control of the hyperchaotic system. Then, the new hyperchaotic system is implemented using electronic workbench multisim and embedded hardware STM32, and the experimental results are compared with the numerical simulations, showing consistency between them. Finally, using the principle of cross-XOR operation, the audio encryption of hyperchaotic sequence was implemented on the embedded hardware STM32. The results show that the audio encryption scheme based on the hyperchaotic system is feasible, and the method is simple to implement, has nonlinear characteristics and certain algorithm complexity, which can be applied to audio encryption, image encryption, video encryption, and more.

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A New 4D Hyperchaotic System and Its Analog and Digital Implementation

Cited by 19 publications

References 35 publications

A Novel Image Encryption Technique with Four Stage Bit-Interspersing and A 4D-Hyperchaotic System

A Novel Image Encryption Technique with Four Stage Bit-Interspersing and A 4D-Hyperchaotic System

A New 5-D Multistable Hyperchaotic System With Three Positive Lyapunov Exponents: Bifurcation Analysis, Circuit Design, FPGA Realization and Image Encryption

Dynamics, Circuit Design, Feedback Control of a New Hyperchaotic System and Its Application in Audio Encryption

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