Abstract

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.

Highlights

  • A lot of development in internet and multimedia technology has been witnessed over the past decade

  • We present a multidimensional oscillator (5DHO) network for use as a chaos generator and cubic nonlinearity to the network in [27]

  • In addition to performing well in the statistical tests reported above, a well design encryption algorithm should be very sensitive to slight changes in the composition of the plain image [51,52,53,54]. This sensitivity can be evaluated by computing the Number of Pixels Change Rate (NPCR) and the Unified Average Changing Intensity (UACI) which are defined in (10) and (11) respectively

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Summary

A Multidimensional Hyperjerk Oscillator

Tsafack Nestor 1,2 , Nkapkop Jean De Dieu 3,4 , Kengne Jacques 1 , Effa Joseph Yves 3 , Abdullah M. Research Unit of Laboratory of Automation and Applied Computer, Electrical Engineering Department of IUT-FV, University of Dschang, P.O. Box 134 Bandjoun, Cameroon. 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. Electrical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia. Mathematics and Computer Science Department, Faculty of Science, Menoufia University, P.O. Box 32511 Shebin El-Koom, Egypt.

Introduction
Mathematical Formulation of Proposed 5-D Hyperjerk Oscillator Network
Fixed Point and Stability
Bifurcations and Multistability
Figures and
Evidence
Experimental
Arduino Based Implementation of Proposed Oscillator
Application of Proposed
Performance
18. Histograms
Differential Test
Key Sensitivity Test
Time and Complexity Analysis
NIST Test
Key Space Analysis
Result
Impact
Findings
Concluding Remarks
Full Text
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