A Unified Framework for Generating 4-D Discrete Memristive Hyperchaotic Maps With Complex Dynamics and Application to Encryption

Traditional low dimensional chaotic maps suffer from limited dynamical complexity and weak randomness, reducing their effectiveness in applications. This paper presents a general framework for constructing 4-D memristive hyperchaotic maps, from which four representative hyperchaotic maps are develop...

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Vydané v:IEEE internet of things journal Ročník 12; číslo 19; s. 40934 - 40943
Hlavní autori: Lai, Qiang, Zhu, Chongkun, Zhao, Xiao-Wen, Sun, Xiang, Hua, Jialin
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Piscataway IEEE 01.10.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Predmet:
Amplitude modulation
coexisting attractors
Complexity
Controllability
Couplings
Encryption
Hardware
Heuristic algorithms
Hyperchaotic maps
Hysteresis
image encryption
Internet of Things
memristor
Memristors
offset boosting
Resistance
Robustness
Training
ISSN:2327-4662, 2327-4662
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Shrnutí:Traditional low dimensional chaotic maps suffer from limited dynamical complexity and weak randomness, reducing their effectiveness in applications. This paper presents a general framework for constructing 4-D memristive hyperchaotic maps, from which four representative hyperchaotic maps are developed. These maps exhibit diverse dynamical behaviors. Importantly, all four maps are designed without fixed points due to the inclusion of two oscillatory terms. By adjusting the internal memristor state, they generate infinitely many coexisting attractors, and they further enable controllable amplitude modulation as well as parameters driven attractors offset boosting. A digital hardware platform is developed to implement the proposed maps and experimental results demonstrate their robustness and feasibility in embedded environments. An image encryption algorithm based on it is designed, results exhibiting robust resistance against brute-force attacks, diverse noise attacks at varying intensities, cropping attacks and differential cryptanalysis.
Bibliografia:ObjectType-Article-1
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ISSN:2327-4662
2327-4662
DOI:10.1109/JIOT.2025.3590465