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Finite-time synchronization of fractional-order simplest two-component chaotic oscillators

Author

Listed:
  • Romanic Kengne

    (Research Group on Experimental and Applied Physics for Sustainable Development, Faculty of Science, Department of Physics, University of Dschang
    Laboratory of Electronics and Signal Processing Faculty of Science, Department of Physics University of Dschang)

  • Robert Tchitnga

    (Research Group on Experimental and Applied Physics for Sustainable Development, Faculty of Science, Department of Physics, University of Dschang
    Laboratory of Electronics and Signal Processing Faculty of Science, Department of Physics University of Dschang)

  • Anicet Mezatio

    (Research Group on Experimental and Applied Physics for Sustainable Development, Faculty of Science, Department of Physics, University of Dschang
    Laboratory of Electronics and Signal Processing Faculty of Science, Department of Physics University of Dschang)

  • Anaclet Fomethe

    (Laboratoire de Mécanique et de Modélisation des Systèmes, L2MS, Department of Physics, Faculty of Science, University of Dschang)

  • Grzegorz Litak

    (Lublin University of Technology, Faculty of Mechanical Engineering
    AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Department of Process Control)

Abstract

The problem of finite-time synchronization of fractional-order simplest two-component chaotic oscillators operating at high frequency and application to digital cryptography is addressed. After the investigation of numerical chaotic behavior in the system, an adaptive feedback controller is designed to achieve the finite-time synchronization of two oscillators, based on the Lyapunov function. This controller could find application in many other fractional-order chaotic circuits. Applying synchronized fractional-order systems in digital cryptography, a well secured key system is obtained. Numerical simulations are given to illustrate and verify the analytic results.

Suggested Citation

  • Romanic Kengne & Robert Tchitnga & Anicet Mezatio & Anaclet Fomethe & Grzegorz Litak, 2017. "Finite-time synchronization of fractional-order simplest two-component chaotic oscillators," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(5), pages 1-10, May.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:5:d:10.1140_epjb_e2017-70470-8
    DOI: 10.1140/epjb/e2017-70470-8
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    Citations

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    Cited by:

    1. Kengne, Romanic & Tchitnga, Robert & Mabekou, Sandrine & Tekam, Blaise Raoul Wafo & Soh, Guy Blondeau & Fomethe, Anaclet, 2018. "On the relay coupling of three fractional-order oscillators with time-delay consideration: Global and cluster synchronizations," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 6-17.
    2. Mezatio, Brice Anicet & Motchongom, Marceline Tingue & Wafo Tekam, Blaise Raoul & Kengne, Romanic & Tchitnga, Robert & Fomethe, Anaclet, 2019. "A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 100-115.
    3. Xu, Lu & Chu, Yan-Dong & Yang, Qiong, 2020. "Novel dynamical Scenario of the two-stage Colpitts oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    4. Tchitnga, R. & Mezatio, B.A. & Fozin, T. Fonzin & Kengne, R. & Louodop Fotso, P.H. & Fomethe, A., 2019. "A novel hyperchaotic three-component oscillator operating at high frequency," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 166-180.
    5. Sifeu Takougang Kingni & Gaetan Fautso Kuiate & Romanic Kengne & Robert Tchitnga & Paul Woafo, 2017. "Analysis of a No Equilibrium Linear Resistive-Capacitive-Inductance Shunted Junction Model, Dynamics, Synchronization, and Application to Digital Cryptography in Its Fractional-Order Form," Complexity, Hindawi, vol. 2017, pages 1-12, October.

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    Keywords

    Statistical and Nonlinear Physics;

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