A discrete memristor model and its application in Hénon map

Peng, Yuexi; Sun, Kehui; He, Shaobo

doi:10.1016/j.chaos.2020.109873

Cited by 143 publications

(48 citation statements)

References 33 publications

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“…In recent years, there has been a growing interest in discrete time systems with special complex dynamical behaviours, such as hidden attractors [17], coexisting multiple attractors [18] and hyperchaotic behaviours. For instance, in [19] the dynamic properties of a novel memristive hyperchaotic map and its application in secure communication have been illustrated.…”

Section: Introductionmentioning

confidence: 99%

A New Fractional‐Order Map with Infinite Number of Equilibria and Its Encryption Application

et al. 2022

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The study of the chaotic dynamics in fractional-order discrete-time systems has received great attention over the last years. Some efforts have been also devoted to analyze fractional maps with special features. This paper makes a contribution to the topic by introducing a new fractional map that is characterized by both particular dynamic behaviors and specific properties related to the system equilibria. In particular, the conceived one dimensional map is algebraically simpler than all the proposed fractional maps in the literature. Using numerical simulation, we investigate the dynamic and complexity of the fractional map. The results indicate that the new one-dimensional fractional map displays various types of coexisting attractors. The approximate entropy is used to observe the changes in the sequence sequence complexity when the fractional order and system parameter. Finally, the fractional map is applied to the problem of encrypting electrophysiological signals. For the encryption process, random numbers were generated using the values of the fractional map. Some statistical tests are given to show the performance of the encryption.

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Section: Introductionmentioning

confidence: 99%

A New Fractional‐Order Map with Infinite Number of Equilibria and Its Encryption Application

et al. 2022

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“…Compared with CMM, discretetime memristor models (DMM) have not received much attention. In recent years, Peng et al [26] proposed a discrete-time ideal charge-controlled memristor model. The output of the model was used as a control parameter of the two-dimensional Hénon mapping, and the output of the Hénon mapping was disturbed to enhance the dynamic characteristics of the Hénon mapping.…”

Section: Introductionmentioning

confidence: 99%

Discrete-Time Memristor Model for Enhancing Chaotic Complexity and Application in Secure Communication

Yan

Jiang

Ding

2022

Preprint

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The physical implementation of continuoustime memristor makes it widely used in chaotic circuits, whereas discrete-time memristor has not received much attention. In this paper, the backward-Euler method is used to discretize TiO2 memristor model, and the discretized model also meets the three fingerprinter characteristics of the generalized memristor. The short period phenomenon and uneven output distribution of one-dimensional chaotic systems affect their applications in some fields, so it is necessary to improve the dynamic characteristics of one-dimensional chaotic systems. In this paper, a two-dimensional discrete-time memristor model is obtained by linear coupling the proposed TiO2 memristor model and one-dimensional chaotic systems. Since the two-dimensional model has infinite fixed points, the stability of these fixed points depends on the coupling parameters and the initial state of the discrete TiO2 memristor model. Furthermore, the dynamic characteristics of one-dimensional chaotic systems can be enhanced by the proposed method. Finally, we apply the generated chaotic sequence to secure communication.

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“…A color image encryption system based on improved genetic algorithm and matrix semi-tensor product (STP) is also proposed [19]. Peng et al proposed a discrete memristor model based on the difference theory, and proved the three fingerprint characteristics of the model according to the definition of generalized memristor [20], and based on the improved two-dimensional closed-loop modulation coupling model, proposed a new two-dimensional sinusoidal improved Logistic iterative chaotic mapping (ICMIC) modulation mapping (2D-SLIM) [21]. Chen et al in order to further improve the security under limited accuracy, proposed an improved cryptosystem based on a new two-dimensional chaotic map based on sine map, Chebyshev map and linear function (2D-SCL) [22].…”

Section: Introductionmentioning

confidence: 99%

Chaotic Image Encryption Algorithm Based on Zigzag Transform With Bidirectional Crossover From Random Position

Gao

Wang

2021

IEEE Access

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This paper proposes a Zigzag transform that starts at random positions and crosses bidirectionally (ZZBCRP) to scramble the image. The number of sequence types of this new Zigzag transform is the number of pixels in the plaintext image, which is more and more complicated than other Zigzag transform methods, and Arrangement in a bidirectional crossover method can better disrupt the pixel correlation of the plaintext image. After multiple rounds of Zigzag transformation, the Logistic system is used to generate a sorted sequence to scramble the image. Then the chaotic sequence generated by the hyperchaotic Chen system is used. Perform a reversible diffusion operation on the image, and finally analyze the security of the algorithm.

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A discrete memristor model and its application in Hénon map

Cited by 143 publications

References 33 publications

A New Fractional‐Order Map with Infinite Number of Equilibria and Its Encryption Application

A New Fractional‐Order Map with Infinite Number of Equilibria and Its Encryption Application

Discrete-Time Memristor Model for Enhancing Chaotic Complexity and Application in Secure Communication

Chaotic Image Encryption Algorithm Based on Zigzag Transform With Bidirectional Crossover From Random Position

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