Working Paper Article Version 1 This version is not peer-reviewed

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

Version 1 : Received: 8 December 2019 / Approved: 9 December 2019 / Online: 9 December 2019 (03:22:41 CET)

A peer-reviewed article of this Preprint also exists.

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. 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.

Journal reference: Sensors 2019, 20, 83
DOI: 10.3390/s20010083

Abstract

A lightweight image encryption algorithm based on chaos induction via a 5-dimensional hyperjerk oscillator (5DHO) is presented. 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 digital implementation of the system. 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 results obtained from the entropy analysis (7.9976), NPCR values (99.62), UACI tests (33.69) and encryption execution time for 512x512 images (0.1179 sec), the proposed algorithm is adjudged to be fast and robust to differential and statistical attacks relative to similar approaches.

Subject Areas

Hyperjerk oscillator; Arduino board; multiple coexisting attractors; information security; image encryption

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