Kocak O., ERKAN U., BABAOĞLU İ.
INTEGRATION-THE VLSI JOURNAL, cilt.103, 2025 (SCI-Expanded, Scopus)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
103
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Basım Tarihi:
2025
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Doi Numarası:
10.1016/j.vlsi.2025.102399
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Dergi Adı:
INTEGRATION-THE VLSI JOURNAL
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
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Ankara Üniversitesi Adresli:
Hayır
Özet
Modern chaotic systems necessitate high levels of randomness and complexity, which can be achieved through adaptable seed functions. This paper proposes a new 2D Apery chaotic system generator (2D-ACG) based on Apery numbers to fulfill this need. The 2D-ACG generates various chaotic systems using classical seed functions. The effectiveness and the capabilities of 2D-ACG are demonstrated on three well-known example chaotic maps using pairs of seed functions such as Cos-Cos, Sin-Sin and Cos-Sin. The reliability of chaos metrics, such as the Lyapunov exponent (LE), sample entropy (SE), correlation dimension (CD), Kolmogorov entropy (KE), C0 test, and sensitivity, confirms the chaotic performance of these maps. This is further supported by a comparison with reported 2D chaotic systems. Furthermore, one of the maps derived from 2D-ACG has been implemented into an image encryption algorithm and has successfully passed the cryptanalysis tests. Additionally, the hardware implementation of 2D-ACG has been tested on a field programmable gate array (FPGA), thereby confirming its efficacy. The superior results obtained indicate that the proposed 2D-ACG, with its enhanced diversity and complex structure derived from the Apery's constant, exhibits higher-performance chaotic characteristics.