Two Modified Chaotic Maps Based on Discrete Memristor Model
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 memris...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-04-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/14/4/800 |
| _version_ | 1797409166138015744 |
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| author | Guodong Li Huiyan Zhong Wenxia Xu Xiangliang Xu |
| author_facet | Guodong Li Huiyan Zhong Wenxia Xu Xiangliang Xu |
| author_sort | Guodong Li |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T04:10:25Z |
| format | Article |
| id | doaj.art-25a5070a4fb54643bf6d1d7f9be34160 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T04:10:25Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-25a5070a4fb54643bf6d1d7f9be341602023-12-03T14:00:31ZengMDPI AGSymmetry2073-89942022-04-0114480010.3390/sym14040800Two Modified Chaotic Maps Based on Discrete Memristor ModelGuodong Li0Huiyan Zhong1Wenxia Xu2Xiangliang Xu3School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, ChinaThe 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.https://www.mdpi.com/2073-8994/14/4/800discrete memristordiscrete memristor-based chaotic mapSimulink model |
| spellingShingle | Guodong Li Huiyan Zhong Wenxia Xu Xiangliang Xu Two Modified Chaotic Maps Based on Discrete Memristor Model Symmetry discrete memristor discrete memristor-based chaotic map Simulink model |
| title | Two Modified Chaotic Maps Based on Discrete Memristor Model |
| title_full | Two Modified Chaotic Maps Based on Discrete Memristor Model |
| title_fullStr | Two Modified Chaotic Maps Based on Discrete Memristor Model |
| title_full_unstemmed | Two Modified Chaotic Maps Based on Discrete Memristor Model |
| title_short | Two Modified Chaotic Maps Based on Discrete Memristor Model |
| title_sort | two modified chaotic maps based on discrete memristor model |
| topic | discrete memristor discrete memristor-based chaotic map Simulink model |
| url | https://www.mdpi.com/2073-8994/14/4/800 |
| work_keys_str_mv | AT guodongli twomodifiedchaoticmapsbasedondiscretememristormodel AT huiyanzhong twomodifiedchaoticmapsbasedondiscretememristormodel AT wenxiaxu twomodifiedchaoticmapsbasedondiscretememristormodel AT xiangliangxu twomodifiedchaoticmapsbasedondiscretememristormodel |