Singularity, Observability, and Independence: Unveiling Lorenz’s Cryptographic Potential
The key findings of this study include a detailed examination of the Lorenz system’s observability, revealing that it maintains high observability compared to other chaotic systems, thus supporting its potential use in cryptographic applications. We also investigated the singularity manifolds, ident...
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MDPI AG
2024-09-01
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| Series: | Mathematics |
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| author | Alexandru Dinu |
| author_facet | Alexandru Dinu |
| author_sort | Alexandru Dinu |
| collection | DOAJ |
| description | The key findings of this study include a detailed examination of the Lorenz system’s observability, revealing that it maintains high observability compared to other chaotic systems, thus supporting its potential use in cryptographic applications. We also investigated the singularity manifolds, identifying regions where observability might be compromised, but overall demonstrating that the system remains reliable across various states. Additionally, statistical tests confirm that the Lorenz system exhibits strong statistical independence in its outputs, further validating its suitability for encryption purposes. These findings collectively underscore the Lorenz system’s potential to enhance cryptographic security and contribute significantly to the field of secure communications. By providing a thorough analysis of its key properties, this study positions the Lorenz system as a promising candidate for advanced encryption technologies. |
| format | Article |
| id | doaj-art-276c199ba4a84131a47ff6afd9fa1f34 |
| institution | OA Journals |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-276c199ba4a84131a47ff6afd9fa1f342025-08-20T01:55:38ZengMDPI AGMathematics2227-73902024-09-011218279810.3390/math12182798Singularity, Observability, and Independence: Unveiling Lorenz’s Cryptographic PotentialAlexandru Dinu0Faculty of Electronics, Telecommunications and Information Technology, National University of Science and Technology Politehnica Bucharest, 061071 Bucharest, RomaniaThe key findings of this study include a detailed examination of the Lorenz system’s observability, revealing that it maintains high observability compared to other chaotic systems, thus supporting its potential use in cryptographic applications. We also investigated the singularity manifolds, identifying regions where observability might be compromised, but overall demonstrating that the system remains reliable across various states. Additionally, statistical tests confirm that the Lorenz system exhibits strong statistical independence in its outputs, further validating its suitability for encryption purposes. These findings collectively underscore the Lorenz system’s potential to enhance cryptographic security and contribute significantly to the field of secure communications. By providing a thorough analysis of its key properties, this study positions the Lorenz system as a promising candidate for advanced encryption technologies.https://www.mdpi.com/2227-7390/12/18/2798chaotic dynamical systemssingularitystatistical independenceobservability |
| spellingShingle | Alexandru Dinu Singularity, Observability, and Independence: Unveiling Lorenz’s Cryptographic Potential Mathematics chaotic dynamical systems singularity statistical independence observability |
| title | Singularity, Observability, and Independence: Unveiling Lorenz’s Cryptographic Potential |
| title_full | Singularity, Observability, and Independence: Unveiling Lorenz’s Cryptographic Potential |
| title_fullStr | Singularity, Observability, and Independence: Unveiling Lorenz’s Cryptographic Potential |
| title_full_unstemmed | Singularity, Observability, and Independence: Unveiling Lorenz’s Cryptographic Potential |
| title_short | Singularity, Observability, and Independence: Unveiling Lorenz’s Cryptographic Potential |
| title_sort | singularity observability and independence unveiling lorenz s cryptographic potential |
| topic | chaotic dynamical systems singularity statistical independence observability |
| url | https://www.mdpi.com/2227-7390/12/18/2798 |
| work_keys_str_mv | AT alexandrudinu singularityobservabilityandindependenceunveilinglorenzscryptographicpotential |