Singularity, Observability, and Independence: Unveiling Lorenz’s Cryptographic Potential

Alexandru Dinu ()
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Alexandru Dinu: Faculty of Electronics, Telecommunications and Information Technology, National University of Science and Technology Politehnica Bucharest, 061071 Bucharest, Romania

Mathematics, 2024, vol. 12, issue 18, 1-12

Abstract: 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.

Keywords: chaotic dynamical systems; singularity; statistical independence; observability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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