IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v90y2017i5d10.1140_epjb_e2017-70470-8.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/e2017-70470-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/e2017-70470-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xu, Lu & Chu, Yan-Dong & Yang, Qiong, 2020. "Novel dynamical Scenario of the two-stage Colpitts oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    2. 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.
    3. 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.
    4. 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.
    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.

    More about this item

    Keywords

    Statistical and Nonlinear Physics;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:eurphb:v:90:y:2017:i:5:d:10.1140_epjb_e2017-70470-8. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.