New discrete memristive hyperchaotic map: modeling, dynamic analysis, and application in image encryption
With the rapid development of information technology, the demand for ensuring data security and privacy protection has become increasingly urgent. The purpose of this study is to address the limitations of existing image encryption methods and develop a more secure and efficient image encryption sch...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2025-06-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2025.1617964/full |
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| author | Fei Yu Yiya Wu Xuqi Wang Ting He ShanKou Zhang Jie Jin |
| author_facet | Fei Yu Yiya Wu Xuqi Wang Ting He ShanKou Zhang Jie Jin |
| author_sort | Fei Yu |
| collection | DOAJ |
| description | With the rapid development of information technology, the demand for ensuring data security and privacy protection has become increasingly urgent. The purpose of this study is to address the limitations of existing image encryption methods and develop a more secure and efficient image encryption scheme. To achieve this, we adopt a research method that involves constructing a new type of discrete memristor hyperchaotic map by coupling an upgraded cosine discrete memristor with the Cubic map, and then conducting in-depth analysis of the system’s dynamic characteristics using phase diagrams, Lyapunov exponential spectra, and bifurcation diagrams to confirm its ability to reach a hyperchaotic state. Based on this hyperchaotic map, we propose a new image encryption scheme, generating high-quality chaotic sequences through its excellent chaotic characteristics to effectively scramble and diffuse image data, and also introducing a novel forward and reverse diffusion strategy in the diffusion process to enhance encryption efficiency. Through experiments on various images, we verify the algorithm’s effectiveness in improving encryption strength, reducing information leakage risks, and ensuring data security. Finally, the results of keyspace analysis, histogram analysis, correlation analysis, and information entropy demonstrate that the scheme has high security and practicability, along with good application prospects and practical value. |
| format | Article |
| id | doaj-art-c68ed3a8bf4a469db91d7dd4df5288d1 |
| institution | Kabale University |
| issn | 2296-424X |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj-art-c68ed3a8bf4a469db91d7dd4df5288d12025-08-20T03:24:43ZengFrontiers Media S.A.Frontiers in Physics2296-424X2025-06-011310.3389/fphy.2025.16179641617964New discrete memristive hyperchaotic map: modeling, dynamic analysis, and application in image encryptionFei Yu0Yiya Wu1Xuqi Wang2Ting He3ShanKou Zhang4Jie Jin5School of Computer Science and Technology, Changsha University of Science and Technology, Changsha, ChinaSchool of Computer Science and Technology, Changsha University of Science and Technology, Changsha, ChinaSchool of Computer Science and Technology, Changsha University of Science and Technology, Changsha, ChinaSchool of Computer Science and Technology, Changsha University of Science and Technology, Changsha, ChinaSchool of Computer Science and Technology, Changsha University of Science and Technology, Changsha, ChinaSchool of Information Engineering, Changsha Medical University, Changsha, ChinaWith the rapid development of information technology, the demand for ensuring data security and privacy protection has become increasingly urgent. The purpose of this study is to address the limitations of existing image encryption methods and develop a more secure and efficient image encryption scheme. To achieve this, we adopt a research method that involves constructing a new type of discrete memristor hyperchaotic map by coupling an upgraded cosine discrete memristor with the Cubic map, and then conducting in-depth analysis of the system’s dynamic characteristics using phase diagrams, Lyapunov exponential spectra, and bifurcation diagrams to confirm its ability to reach a hyperchaotic state. Based on this hyperchaotic map, we propose a new image encryption scheme, generating high-quality chaotic sequences through its excellent chaotic characteristics to effectively scramble and diffuse image data, and also introducing a novel forward and reverse diffusion strategy in the diffusion process to enhance encryption efficiency. Through experiments on various images, we verify the algorithm’s effectiveness in improving encryption strength, reducing information leakage risks, and ensuring data security. Finally, the results of keyspace analysis, histogram analysis, correlation analysis, and information entropy demonstrate that the scheme has high security and practicability, along with good application prospects and practical value.https://www.frontiersin.org/articles/10.3389/fphy.2025.1617964/fulldiscrete memristorshyperchaotic mapdynamical analysisimage encryptiondata security |
| spellingShingle | Fei Yu Yiya Wu Xuqi Wang Ting He ShanKou Zhang Jie Jin New discrete memristive hyperchaotic map: modeling, dynamic analysis, and application in image encryption Frontiers in Physics discrete memristors hyperchaotic map dynamical analysis image encryption data security |
| title | New discrete memristive hyperchaotic map: modeling, dynamic analysis, and application in image encryption |
| title_full | New discrete memristive hyperchaotic map: modeling, dynamic analysis, and application in image encryption |
| title_fullStr | New discrete memristive hyperchaotic map: modeling, dynamic analysis, and application in image encryption |
| title_full_unstemmed | New discrete memristive hyperchaotic map: modeling, dynamic analysis, and application in image encryption |
| title_short | New discrete memristive hyperchaotic map: modeling, dynamic analysis, and application in image encryption |
| title_sort | new discrete memristive hyperchaotic map modeling dynamic analysis and application in image encryption |
| topic | discrete memristors hyperchaotic map dynamical analysis image encryption data security |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2025.1617964/full |
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