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A Three‐Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos Encryption

Author

Listed:
  • Janarthanan Ramadoss
  • Romanic Kengne
  • Dianorré Tokoue Ngatcha
  • Victor Kamdoum Tamba
  • Karthikeyan Rajagopal
  • Marceline Motchongom Tingue

Abstract

This paper is reporting on electronic implementation of a three‐dimensional autonomous system with infinite equilibrium point belonging to a parabola. Performance analysis of an adaptive synchronization via relay coupling and a hybrid steganography chaos encryption application are provided. Besides striking parabolic equilibrium, the proposed three‐dimensional autonomous system also exhibits hidden chaotic oscillations as well as hidden chaotic bursting oscillations. Electronic implementation of the hidden chaotic behaviors is done to confirm their physical existence. A good qualitative agreement is shown between numerical simulations and OrCAD‐PSpice results. Moreover, adaptive synchronization via relay coupling of three three‐dimensional autonomous systems with a parabolic equilibrium is analysed by using time histories. Numerical results demonstrate that global synchronization is achieved between the three units. Finally, chaotic behavior found is exploited to provide a suitable text encryption scheme by hidden secret message inside an image using steganography and chaos encryption.

Suggested Citation

  • Janarthanan Ramadoss & Romanic Kengne & Dianorré Tokoue Ngatcha & Victor Kamdoum Tamba & Karthikeyan Rajagopal & Marceline Motchongom Tingue, 2022. "A Three‐Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos Encryption," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:8362836
    DOI: 10.1155/2022/8362836
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    References listed on IDEAS

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