4D Memristive Hyperchaotic System for Secure Image Encryption Using Non-Associative Algebraic-Chaotic Sequences
The potential of discrete memristors to improve chaotic systems for safe communication has been demonstrated by recent advancements. This paper presents a novel four-dimensional (4D) memristive hyperchaotic map that combines a sine map with a two-dimensional logistic-Gaussian hyperchaotic (2D LGH) m...
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| Format: | Article |
| Language: | English |
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IEEE
2025-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/11062636/ |
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| author | Tanzeela Anwar Nazli Sanam Sarah Abu Ghazalah Mansoor Alghamdi Ibrahim S. Alkhazi |
| author_facet | Tanzeela Anwar Nazli Sanam Sarah Abu Ghazalah Mansoor Alghamdi Ibrahim S. Alkhazi |
| author_sort | Tanzeela Anwar |
| collection | DOAJ |
| description | The potential of discrete memristors to improve chaotic systems for safe communication has been demonstrated by recent advancements. This paper presents a novel four-dimensional (4D) memristive hyperchaotic map that combines a sine map with a two-dimensional logistic-Gaussian hyperchaotic (2D LGH) map through a sinusoidal discrete memristor. The proposed system exhibits high-dimensional chaotic behavior, including hyperchaos and strong randomness, as illustrated through bifurcation diagrams, Lyapunov exponent (LE) analysis, and complexity metrics. We present a high-security image encryption approach based on these features, incorporating the proposed 4D memristive hyperchaotic system with a non-associative LA-group structure. This method generates algebraic-chaotic sequences by mixing non-associative algebraic operations with chaotic sequences, significantly broadening the key space. The encryption framework provides great efficiency, low computing cost, and resilience to cryptographic attacks. Comprehensive security assessments demonstrate the scheme’s efficacy, such as key sensitivity analysis, entropy evaluation, correlation testing, and differential attack resistance. The simulation results show that the suggested technique provides better encryption quality, high unpredictability, and resistance to statistical and differential attacks, making it an appealing choice for secure image transmission and data security in current communication systems. |
| format | Article |
| id | doaj-art-ea1e0b73e23c4bec98a78c8f1c1e9dbe |
| institution | DOAJ |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-ea1e0b73e23c4bec98a78c8f1c1e9dbe2025-08-20T03:17:32ZengIEEEIEEE Access2169-35362025-01-011311513511515010.1109/ACCESS.2025.3584850110626364D Memristive Hyperchaotic System for Secure Image Encryption Using Non-Associative Algebraic-Chaotic SequencesTanzeela Anwar0Nazli Sanam1https://orcid.org/0000-0001-7691-0404Sarah Abu Ghazalah2https://orcid.org/0000-0003-4162-9529Mansoor Alghamdi3https://orcid.org/0000-0002-2891-6374Ibrahim S. Alkhazi4https://orcid.org/0000-0001-8447-3486Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, PakistanDepartment of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, PakistanDepartment of Informatics and Computer Systems, College of Computer Science, King Khalid University, Abha, Saudi ArabiaDepartment of Computer Science, Applied College, University of Tabuk, Tabuk, Saudi ArabiaDepartment of Computer Science, College of Computers and Information Technology, University of Tabuk, Tabuk, Saudi ArabiaThe potential of discrete memristors to improve chaotic systems for safe communication has been demonstrated by recent advancements. This paper presents a novel four-dimensional (4D) memristive hyperchaotic map that combines a sine map with a two-dimensional logistic-Gaussian hyperchaotic (2D LGH) map through a sinusoidal discrete memristor. The proposed system exhibits high-dimensional chaotic behavior, including hyperchaos and strong randomness, as illustrated through bifurcation diagrams, Lyapunov exponent (LE) analysis, and complexity metrics. We present a high-security image encryption approach based on these features, incorporating the proposed 4D memristive hyperchaotic system with a non-associative LA-group structure. This method generates algebraic-chaotic sequences by mixing non-associative algebraic operations with chaotic sequences, significantly broadening the key space. The encryption framework provides great efficiency, low computing cost, and resilience to cryptographic attacks. Comprehensive security assessments demonstrate the scheme’s efficacy, such as key sensitivity analysis, entropy evaluation, correlation testing, and differential attack resistance. The simulation results show that the suggested technique provides better encryption quality, high unpredictability, and resistance to statistical and differential attacks, making it an appealing choice for secure image transmission and data security in current communication systems.https://ieeexplore.ieee.org/document/11062636/4D hyperchaotic discrete memristive systemLA-groupalgebraic-chaotic sequencesRGB image encryptionsecurity analysis |
| spellingShingle | Tanzeela Anwar Nazli Sanam Sarah Abu Ghazalah Mansoor Alghamdi Ibrahim S. Alkhazi 4D Memristive Hyperchaotic System for Secure Image Encryption Using Non-Associative Algebraic-Chaotic Sequences IEEE Access 4D hyperchaotic discrete memristive system LA-group algebraic-chaotic sequences RGB image encryption security analysis |
| title | 4D Memristive Hyperchaotic System for Secure Image Encryption Using Non-Associative Algebraic-Chaotic Sequences |
| title_full | 4D Memristive Hyperchaotic System for Secure Image Encryption Using Non-Associative Algebraic-Chaotic Sequences |
| title_fullStr | 4D Memristive Hyperchaotic System for Secure Image Encryption Using Non-Associative Algebraic-Chaotic Sequences |
| title_full_unstemmed | 4D Memristive Hyperchaotic System for Secure Image Encryption Using Non-Associative Algebraic-Chaotic Sequences |
| title_short | 4D Memristive Hyperchaotic System for Secure Image Encryption Using Non-Associative Algebraic-Chaotic Sequences |
| title_sort | 4d memristive hyperchaotic system for secure image encryption using non associative algebraic chaotic sequences |
| topic | 4D hyperchaotic discrete memristive system LA-group algebraic-chaotic sequences RGB image encryption security analysis |
| url | https://ieeexplore.ieee.org/document/11062636/ |
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