A Wide-Range Adjustable Conservative Memristive Hyperchaotic System with Transient Quasi-Periodic Characteristics and Encryption Application
In comparison with dissipative chaos, conservative chaos is better equipped to handle the risks associated with the reconstruction of phase space due to the absence of attractors. This paper proposes a novel five-dimensional (5D) conservative memristive hyperchaotic system (CMHS), by incorporating m...
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| Format: | Article |
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2025-02-01
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| Series: | Mathematics |
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| author | Fei Yu Bohong Tan Ting He Shaoqi He Yuanyuan Huang Shuo Cai Hairong Lin |
| author_facet | Fei Yu Bohong Tan Ting He Shaoqi He Yuanyuan Huang Shuo Cai Hairong Lin |
| author_sort | Fei Yu |
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| description | In comparison with dissipative chaos, conservative chaos is better equipped to handle the risks associated with the reconstruction of phase space due to the absence of attractors. This paper proposes a novel five-dimensional (5D) conservative memristive hyperchaotic system (CMHS), by incorporating memristors into a four-dimensional (4D) conservative chaotic system (CCS). We conducted a comprehensive analysis, using Lyapunov exponent diagrams, bifurcation diagrams, phase portraits, equilibrium points, and spectral entropy maps to thoroughly verify the system’s chaotic and conservative properties. The system exhibited characteristics such as hyperchaos and multi-stability over an ultra-wide range of parameters and initial values, accompanied by transient quasi-periodic phenomena. Subsequently, the pseudorandom sequences generated by the new system were tested and demonstrated excellent performance, passing all the tests set by the National Institute of Standards and Technology (NIST). In the final stage of the research, an image-encryption application based on the 5D CMHS was proposed. Through security analysis, the feasibility and security of the image-encryption algorithm were confirmed. |
| format | Article |
| id | doaj-art-08aaef708b5741d690aeddc2f04d4fdf |
| institution | OA Journals |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj-art-08aaef708b5741d690aeddc2f04d4fdf2025-08-20T02:04:48ZengMDPI AGMathematics2227-73902025-02-0113572610.3390/math13050726A Wide-Range Adjustable Conservative Memristive Hyperchaotic System with Transient Quasi-Periodic Characteristics and Encryption ApplicationFei Yu0Bohong Tan1Ting He2Shaoqi He3Yuanyuan Huang4Shuo Cai5Hairong Lin6School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Electronic Information, Central South University, Changsha 410083, ChinaIn comparison with dissipative chaos, conservative chaos is better equipped to handle the risks associated with the reconstruction of phase space due to the absence of attractors. This paper proposes a novel five-dimensional (5D) conservative memristive hyperchaotic system (CMHS), by incorporating memristors into a four-dimensional (4D) conservative chaotic system (CCS). We conducted a comprehensive analysis, using Lyapunov exponent diagrams, bifurcation diagrams, phase portraits, equilibrium points, and spectral entropy maps to thoroughly verify the system’s chaotic and conservative properties. The system exhibited characteristics such as hyperchaos and multi-stability over an ultra-wide range of parameters and initial values, accompanied by transient quasi-periodic phenomena. Subsequently, the pseudorandom sequences generated by the new system were tested and demonstrated excellent performance, passing all the tests set by the National Institute of Standards and Technology (NIST). In the final stage of the research, an image-encryption application based on the 5D CMHS was proposed. Through security analysis, the feasibility and security of the image-encryption algorithm were confirmed.https://www.mdpi.com/2227-7390/13/5/726conservative hyperchaotic systemmemristorwide rangetransient quasi-periodimage encryption |
| spellingShingle | Fei Yu Bohong Tan Ting He Shaoqi He Yuanyuan Huang Shuo Cai Hairong Lin A Wide-Range Adjustable Conservative Memristive Hyperchaotic System with Transient Quasi-Periodic Characteristics and Encryption Application Mathematics conservative hyperchaotic system memristor wide range transient quasi-period image encryption |
| title | A Wide-Range Adjustable Conservative Memristive Hyperchaotic System with Transient Quasi-Periodic Characteristics and Encryption Application |
| title_full | A Wide-Range Adjustable Conservative Memristive Hyperchaotic System with Transient Quasi-Periodic Characteristics and Encryption Application |
| title_fullStr | A Wide-Range Adjustable Conservative Memristive Hyperchaotic System with Transient Quasi-Periodic Characteristics and Encryption Application |
| title_full_unstemmed | A Wide-Range Adjustable Conservative Memristive Hyperchaotic System with Transient Quasi-Periodic Characteristics and Encryption Application |
| title_short | A Wide-Range Adjustable Conservative Memristive Hyperchaotic System with Transient Quasi-Periodic Characteristics and Encryption Application |
| title_sort | wide range adjustable conservative memristive hyperchaotic system with transient quasi periodic characteristics and encryption application |
| topic | conservative hyperchaotic system memristor wide range transient quasi-period image encryption |
| url | https://www.mdpi.com/2227-7390/13/5/726 |
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