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Symmetry
Volume 14
Issue 4
10.3390/sym14040800
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Article

Two Modified Chaotic Maps Based on Discrete Memristor Model

by
Guodong Li
1,
Huiyan Zhong
1,
Wenxia Xu
1,* and
Xiangliang Xu
1,2
1
School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, China
2
School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China
*
Author to whom correspondence should be addressed.
Symmetry 2022, 14(4), 800; https://doi.org/10.3390/sym14040800
Submission received: 14 March 2022 / Revised: 1 April 2022 / Accepted: 8 April 2022 / Published: 12 April 2022
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Abstract

The discrete memristor has aroused increasing interest. In this paper, two discrete memristors with cosine with amplitude memristance are designed based on the discrete memristor model. The Simulink models of the two discrete memristors are built to verify that they meet the definition of the memristor. To improve the dynamic of a classic chaotic map, the discrete memristors are introduced into two chaotic maps: a Logistic map and a Hénon Map. Through the trajectory analysis, Lyapunov exponent, bifurcation diagram, and complexity analysis, it is shown that discrete memristors can indeed make the dynamical behaviors of chaotic maps richer and more complex.
Keywords: discrete memristor; discrete memristor-based chaotic map; Simulink model discrete memristor; discrete memristor-based chaotic map; Simulink model

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MDPI and ACS Style

Li, G.; Zhong, H.; Xu, W.; Xu, X. Two Modified Chaotic Maps Based on Discrete Memristor Model. Symmetry 2022, 14, 800. https://doi.org/10.3390/sym14040800

AMA Style

Li G, Zhong H, Xu W, Xu X. Two Modified Chaotic Maps Based on Discrete Memristor Model. Symmetry. 2022; 14(4):800. https://doi.org/10.3390/sym14040800

Chicago/Turabian Style

Li, Guodong, Huiyan Zhong, Wenxia Xu, and Xiangliang Xu. 2022. "Two Modified Chaotic Maps Based on Discrete Memristor Model" Symmetry 14, no. 4: 800. https://doi.org/10.3390/sym14040800

APA Style

Li, G., Zhong, H., Xu, W., & Xu, X. (2022). Two Modified Chaotic Maps Based on Discrete Memristor Model. Symmetry, 14(4), 800. https://doi.org/10.3390/sym14040800

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