Chaotic Attractors Generated by a Memristor-Based Chaotic System and Julia Fractal

Yan, Dengwei; Duan, Shukai; Chen, Jiaojiao

doi:10.1016/j.chaos.2021.110773

Cited by 31 publications

(16 citation statements)

References 24 publications

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“…The larger the MPE value is, the more complex the time series is. To better grasp the complexity of the system from a macro perspective, the parameters a ∈ [9, 36] and c ∈ [22,26] planes were divided into 251 × 251 points, and the MPE complexity at each point was calculated to obtain the multivariable complexity chaos diagram.…”

Section: Multivariable Complexity Chaos Diagrammentioning

confidence: 99%

“…To show the application advantages of the proposed chaotic system, it also realized the synchronization of fractional-order chaotic system and applied it to secure communication system for the first time. In addition, in their latest research, Yan D. [22] also proposed a chaotic attractor based on the combination of fractal transformation and memristor chaotic system. The main advantage of the system is that multiple rolling attractors and extended chaotic attractors can be generated only by modifying system parameters, and various circular chaotic attractors can be generated in combination with classical Julia fractal.…”

Section: Introductionmentioning

confidence: 99%

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Audio Encryption Algorithm Based on Chen Memristor Chaotic System

Dai

Song

et al. 2021

Symmetry

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The data space for audio signals is large, the correlation is strong, and the traditional encryption algorithm cannot meet the needs of efficiency and safety. To solve this problem, an audio encryption algorithm based on Chen memristor chaotic system is proposed. The core idea of the algorithm is to encrypt the audio signal into the color image information. Most of the traditional audio encryption algorithms are transmitted in the form of noise, which makes it easy to attract the attention of attackers. In this paper, a special encryption method is used to obtain higher security. Firstly, the Fast Walsh–Hadamar Transform (FWHT) is used to compress and denoise the signal. Different from the Fast Fourier Transform (FFT) and the Discrete Cosine Transform (DCT), FWHT has good energy compression characteristics. In addition, compared with that of the triangular basis function of the Fast Fourier Transform, the rectangular basis function of the FWHT can be more effectively implemented in the digital circuit to transform the reconstructed dual-channel audio signal into the R and B layers of the digital image matrix, respectively. Furthermore, a new Chen memristor chaotic system solves the periodic window problems, such as the limited chaos range and nonuniform distribution. It can generate a mask block with high complexity and fill it into the G layer of the color image matrix to obtain a color audio image. In the next place, combining plaintext information with color audio images, interactive channel shuffling can not only weaken the correlation between adjacent samples, but also effectively resist selective plaintext attacks. Finally, the cryptographic block is used for overlapping diffusion encryption to fill the silence period of the speech signal, so as to obtain the ciphertext audio. Experimental results and comparative analysis show that the algorithm is suitable for different types of audio signals, and can resist many common cryptographic analysis attacks. Compared with that of similar audio encryption algorithms, the security index of the algorithm is better, and the efficiency of the algorithm is greatly improved.

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Section: Multivariable Complexity Chaos Diagrammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Audio Encryption Algorithm Based on Chen Memristor Chaotic System

Dai

Song

et al. 2021

Symmetry

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“…In 2018, Xiao [31] et al combined Julia fractal with memristor-based chaotic system to generate abundant multi-scroll attractors, providing a new method to construct multi-scroll attractors. In 2021, Yan [32] et al designed a memristor-based chaotic system, which can be able to generate multi-scroll chaotic attractors. In particular, a large number of multi-scroll attractors with different topologies are produced by combining the system with fractal process.…”

Section: Introductionmentioning

confidence: 99%

Generating novel multi-scroll chaotic attractors via fractal transformation

et al. 2022

Self Cite

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The fractal and chaos are bound tightly, and their relevant researches are well-established. Few of them, however, concentrates on the research of the possibility of combining the fractal and the chaotic systems to generate multi-scroll chaotic attractors. This paper presents a novel non-equilibrium point chaotic system, exhibiting extremely rich and complex hidden behaviors including chaos, hyper-chaos, multiscroll attractors, extreme multi-stability and initial offset-boosting. The proposed system is combined with fractal transformation respectively, and a new class of multi-scroll attractors, such as multi-ring attractors and separated-scroll attractors, is observed. Particularly, swallow-shaped attractors for the first time is found. Moreover, another efficient method to generate a different class of chaotic attractors uses parabola transformation and triangle transformation. Additionally, the spectrum entropy (SE) complexity is employed to discuss the complexity of the proposed system before and after fractal, resulting in a chaotic sequences with fractal transformation that has higher complexity. Finally, we develop a hardware platform to implement the presented attractors before and after fractal in a way to confirm the accuracy of the numerical simulations, providing a theoretical basis for the next application in image encryption.

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“…The accuracy of power system parameters is a prerequisite for the safe and stable operation of power grids [1][2][3][4][5], power system network analysis [6][7][8][9], power grid optimization decision-making and control [10][11][12][13], power flow calculations and efficient realization of power grid dispatch. As various electronic devices are added as loads to the power system, its behavior starts exhibiting chaotic phenomena [14][15][16][17], which are different from conventional oscillations. These phenomena are likely to cause serious fluctuations in the operation of the power grid and may result in largescale power system instabilities or even widespread power outages.…”

Section: Introductionmentioning

confidence: 99%

Parameter Estimation of Uncertain Fractional-Order Chaotic Power System Using an Improved State Transition Algorithm

2022

SSRN Journal

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Chaotic Attractors Generated by a Memristor-Based Chaotic System and Julia Fractal

Cited by 31 publications

References 24 publications

Audio Encryption Algorithm Based on Chen Memristor Chaotic System

Audio Encryption Algorithm Based on Chen Memristor Chaotic System

Generating novel multi-scroll chaotic attractors via fractal transformation

Parameter Estimation of Uncertain Fractional-Order Chaotic Power System Using an Improved State Transition Algorithm

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