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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

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  • Janarthanan Ramadoss
  • Romanic Kengne
  • Dianorré Tokoue Ngatcha
  • Victor Kamdoum Tamba
  • Karthikeyan Rajagopal
  • Marceline Motchongom Tingue
  • Mustafa Cagri Kutlu

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 & Mustafa Cagri Kutlu, 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, Hindawi, vol. 2022, pages 1-12, May.
    • Handle: RePEc:hin:complx:8362836
    DOI: 10.1155/2022/8362836
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