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Open AccessArticle

A Multidimensional Hyperjerk Oscillator: Dynamics Analysis, Analogue and Embedded Systems Implementation, and Its Application as a Cryptosystem

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Research Unit of Laboratory of Automation and Applied Computer, Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134 Bandjoun, Cameroon
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Research Unit of Laboratory of Condensed Matter, Electronics and Signal Processing, Department of Physics, Faculty of Sciences, University of Dschang, P.O. Box 67 Dschang, Cameroon
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Department of Electrical Engineering and Industrial Computing, University Institute of Technology, P.O. Box 8698 Douala, Cameroon
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Department of Communications, Technical University of Cluj-Napoca, 26-28 Baritiu Street, 400027 Cluj-Napoca, Romania
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Electrical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
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School of Computing, Tokyo Institute of Technology, Yokohama 226-8502, Japan
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School of Computer Science and Technology, Changchun University of Science and Technology, Changchun 130022, China
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Mathematics and Computer Science Department, Faculty of Science, Menoufia University, P.O. Box 32511 Shebin El-Koom, Egypt
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Department of Cybersecurity, College of Computer Science and Engineering, University of Jeddah, P.O. Box 23890 Jeddah, Saudi Arabia
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School of Computer Science and Technology, Harbin Institute of Technology, Harbin P.O. Box 150080, China
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Author to whom correspondence should be addressed.
Sensors 2020, 20(1), 83; https://doi.org/10.3390/s20010083
Received: 9 November 2019 / Revised: 16 December 2019 / Accepted: 16 December 2019 / Published: 21 December 2019
(This article belongs to the Special Issue Data, Signal and Image Processing and Applications in Sensors)
A lightweight image encryption algorithm is presented based on chaos induction via a 5-dimensional hyperjerk oscillator (5DHO) network. First, the dynamics of our 5DHO network is investigated and shown to exhibit up to five coexisting hidden attractors in the state space that depend exclusively on the system’s initial values. Further, a simple implementation of the circuit was used to validate its ability to exhibit chaotic dynamical properties. Second, an Arduino UNO platform is used to confirm the usability of our oscillator in embedded system implementation. Finally, an efficient image encryption application is executed using the proposed chaotic networks based on the use of permutation-substitution sequences. The superior qualities of the proposed strategy are traced to the dynamic set of keys used in the substitution process which heralds the generation of the final ciphered image. Based on the average results obtained from the entropy analysis (7.9976), NPCR values (99.62), UACI tests (33.69) and encryption execution time for 512 × 512 images (0.1141 s), the proposed algorithm is adjudged to be fast and robust to differential and statistical attacks relative to similar approaches. View Full-Text
Keywords: hyperjerk oscillator; embedded systems; multiple coexisting attractors; information security; image encryption hyperjerk oscillator; embedded systems; multiple coexisting attractors; information security; image encryption
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MDPI and ACS Style

Nestor, T.; De Dieu, N.J.; Jacques, K.; Yves, E.J.; Iliyasu, A.M.; Abd El-Latif, A.A. A Multidimensional Hyperjerk Oscillator: Dynamics Analysis, Analogue and Embedded Systems Implementation, and Its Application as a Cryptosystem. Sensors 2020, 20, 83. https://doi.org/10.3390/s20010083

AMA Style

Nestor T, De Dieu NJ, Jacques K, Yves EJ, Iliyasu AM, Abd El-Latif AA. A Multidimensional Hyperjerk Oscillator: Dynamics Analysis, Analogue and Embedded Systems Implementation, and Its Application as a Cryptosystem. Sensors. 2020; 20(1):83. https://doi.org/10.3390/s20010083

Chicago/Turabian Style

Nestor, Tsafack; De Dieu, Nkapkop J.; Jacques, Kengne; Yves, Effa J.; Iliyasu, Abdullah M.; Abd El-Latif, Ahmed A. 2020. "A Multidimensional Hyperjerk Oscillator: Dynamics Analysis, Analogue and Embedded Systems Implementation, and Its Application as a Cryptosystem" Sensors 20, no. 1: 83. https://doi.org/10.3390/s20010083

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