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A Multidimensional Hyperjerk Oscillator: Dynamics Analysis, Analogue and Embedded Systems Implementation, and Its

Tsafack Nestor1,2, Nkapkop Jean De Dieu3,4, Kengne Jacques1

  • 1Research 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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This study introduces a fast and robust image encryption algorithm using a 5-dimensional hyperjerk oscillator (5DHO) network. The chaotic system generates dynamic keys for secure permutation-substitution sequences, ensuring strong resistance against attacks.

Keywords:
embedded systemshyperjerk oscillatorimage encryptioninformation securitymultiple coexisting attractors

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Area of Science:

  • Cryptography
  • Nonlinear Dynamics
  • Applied Mathematics

Background:

  • Image encryption is crucial for data security.
  • Chaotic systems offer unique properties for cryptographic applications.
  • Existing methods may lack efficiency or robustness.

Purpose of the Study:

  • To develop a lightweight and efficient image encryption algorithm.
  • To utilize a 5-dimensional hyperjerk oscillator (5DHO) network for chaos induction.
  • To enhance security through dynamic key generation and permutation-substitution sequences.

Main Methods:

  • Investigated the dynamics of a 5DHO network, identifying coexisting hidden attractors.
  • Validated chaotic properties through circuit implementation and Arduino UNO platform testing.
  • Implemented an image encryption scheme using permutation-substitution based on chaotic sequences.

Main Results:

  • The 5DHO network demonstrated chaotic behavior and suitability for embedded systems.
  • Achieved high entropy (7.9976), NPCR (99.62%), and UACI (33.69%) for encrypted images.
  • Demonstrated fast encryption speed (0.1141s for 512x512 images).

Conclusions:

  • The proposed algorithm is fast, robust, and efficient for image encryption.
  • The dynamic key generation enhances security against differential and statistical attacks.
  • The 5DHO network provides a viable platform for secure embedded cryptographic applications.