Chaos-based approaches to data security: Analysis of incommensurate fractional-order Arneodo chaotic system and engineering application on a microcomputer

IF 2.2 3区工程技术 Q3 COMPUTER SCIENCE, HARDWARE & ARCHITECTURE

Integration-The Vlsi Journal Pub Date : 2025-01-18 DOI:10.1016/j.vlsi.2025.102355

Akif Akgül , Mustafa Yaz , Berkay Emi̇n

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Abstract

In this study, the Arneodo chaotic system was designed as an incommensurate fractional-order system, and the equilibrium points, time series, and phase portraits of the system were obtained, while the Lyapunov exponents were calculated. The incommensurate fractional-order system was modeled and simulated on the Nvidia Jetson AGX Orin, and its practical applications were realized with the designed electronic circuit. The chaotic equations were discretized via the Grünwald–Letnikov method, and a random number generator (RNG) based on an embedded system was implemented using the proposed algorithm. The RNG successfully met the criteria of international statistical evaluations, including NIST 800-22, FIPS 140-1, and ENT, thereby serving as a foundation for encryption and steganography algorithms. An original image encryption algorithm based on an embedded system was developed using the incommensurate fractional-order chaotic RNG. Encryption algorithm performance was evaluated through various security analyses, demonstrating the success of the incommensurate fractional-order Arneodo (IFOAR) system in embedded encryption applications. Furthermore, an embedded system-based image steganography algorithm was developed using the designed RNG, providing two-level security. The effectiveness of incommensurate chaotic system in steganography applications has been proved by various security analyses.

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来源期刊

Integration-The Vlsi Journal 工程技术-工程：电子与电气

CiteScore

3.80

自引率

5.30%

发文量

107

审稿时长

6 months

期刊介绍： Integration''s aim is to cover every aspect of the VLSI area, with an emphasis on cross-fertilization between various fields of science, and the design, verification, test and applications of integrated circuits and systems, as well as closely related topics in process and device technologies. Individual issues will feature peer-reviewed tutorials and articles as well as reviews of recent publications. The intended coverage of the journal can be assessed by examining the following (non-exclusive) list of topics: Specification methods and languages; Analog/Digital Integrated Circuits and Systems; VLSI architectures; Algorithms, methods and tools for modeling, simulation, synthesis and verification of integrated circuits and systems of any complexity; Embedded systems; High-level synthesis for VLSI systems; Logic synthesis and finite automata; Testing, design-for-test and test generation algorithms; Physical design; Formal verification; Algorithms implemented in VLSI systems; Systems engineering; Heterogeneous systems.