Design of a New Dimension-Changeable Hyperchaotic Model Based on Discrete Memristor
The application of a memristor in chaotic circuits is increasingly becoming a popular research topic. The influence of a memristor on the dynamics of chaotic systems is worthy of further exploration. In this paper, a multi-dimensional closed-loop coupling model based on a Logistic map and Sine map (...
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| Format: | Article |
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MDPI AG
2022-05-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/5/1019 |
| _version_ | 1797495108750278656 |
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| author | Chengjing Wei Guodong Li Xiangliang Xu |
| author_facet | Chengjing Wei Guodong Li Xiangliang Xu |
| author_sort | Chengjing Wei |
| collection | DOAJ |
| description | The application of a memristor in chaotic circuits is increasingly becoming a popular research topic. The influence of a memristor on the dynamics of chaotic systems is worthy of further exploration. In this paper, a multi-dimensional closed-loop coupling model based on a Logistic map and Sine map (CLS) is proposed. The new chaotic model is constructed by cascade operation in which the output of the Logistic map is used as the input of the Sine map. Additionally, the one-dimensional map is extended to any dimension through the coupling modulation. In order to further increase the complexity and stability of CLS, the discrete memristor model is introduced to construct a discrete memristor-based coupling model with a Logistic map and a Sine map (MCLS). By analyzing the Lyapunov exponents, bifurcation diagram, complexity, and the 0–1 test result, the comparison result between CLS and MCLS is obtained. The dynamics performance analysis shows that the Lyapunov exponents and bifurcation diagrams present symmetrical distribution with variations of some parameters. The MCLS has parameters whose values can be set in a wider range and can generate more complex and more stable chaotic sequences. It proves that the proposed discrete memristor-based closed-loop coupling model can produce any higher dimension hyperchaotic system and the discrete memristor model can effectively improve the performance of discrete chaotic map and make this hyperchaotic system more stable. |
| first_indexed | 2024-03-10T01:43:44Z |
| format | Article |
| id | doaj.art-e6016e80324649b59f8a64a9e0de9497 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T01:43:44Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-e6016e80324649b59f8a64a9e0de94972023-11-23T13:20:05ZengMDPI AGSymmetry2073-89942022-05-01145101910.3390/sym14051019Design of a New Dimension-Changeable Hyperchaotic Model Based on Discrete MemristorChengjing Wei0Guodong Li1Xiangliang Xu2School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541001, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541001, ChinaGuangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, ChinaThe application of a memristor in chaotic circuits is increasingly becoming a popular research topic. The influence of a memristor on the dynamics of chaotic systems is worthy of further exploration. In this paper, a multi-dimensional closed-loop coupling model based on a Logistic map and Sine map (CLS) is proposed. The new chaotic model is constructed by cascade operation in which the output of the Logistic map is used as the input of the Sine map. Additionally, the one-dimensional map is extended to any dimension through the coupling modulation. In order to further increase the complexity and stability of CLS, the discrete memristor model is introduced to construct a discrete memristor-based coupling model with a Logistic map and a Sine map (MCLS). By analyzing the Lyapunov exponents, bifurcation diagram, complexity, and the 0–1 test result, the comparison result between CLS and MCLS is obtained. The dynamics performance analysis shows that the Lyapunov exponents and bifurcation diagrams present symmetrical distribution with variations of some parameters. The MCLS has parameters whose values can be set in a wider range and can generate more complex and more stable chaotic sequences. It proves that the proposed discrete memristor-based closed-loop coupling model can produce any higher dimension hyperchaotic system and the discrete memristor model can effectively improve the performance of discrete chaotic map and make this hyperchaotic system more stable.https://www.mdpi.com/2073-8994/14/5/1019hyperchaotic modeldiscrete memristorcascadeclosed-loop coupling |
| spellingShingle | Chengjing Wei Guodong Li Xiangliang Xu Design of a New Dimension-Changeable Hyperchaotic Model Based on Discrete Memristor Symmetry hyperchaotic model discrete memristor cascade closed-loop coupling |
| title | Design of a New Dimension-Changeable Hyperchaotic Model Based on Discrete Memristor |
| title_full | Design of a New Dimension-Changeable Hyperchaotic Model Based on Discrete Memristor |
| title_fullStr | Design of a New Dimension-Changeable Hyperchaotic Model Based on Discrete Memristor |
| title_full_unstemmed | Design of a New Dimension-Changeable Hyperchaotic Model Based on Discrete Memristor |
| title_short | Design of a New Dimension-Changeable Hyperchaotic Model Based on Discrete Memristor |
| title_sort | design of a new dimension changeable hyperchaotic model based on discrete memristor |
| topic | hyperchaotic model discrete memristor cascade closed-loop coupling |
| url | https://www.mdpi.com/2073-8994/14/5/1019 |
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