1. Home
    2. Journals
    3. Pramana – Journal of Physics
    4. Volume 94
    5. All articles

    • Novel fractional-order chaotic systems of different order and multiswitching synchronisation

      NEETU ANEJA P TRIPATHI BINAY KUMAR SHARMA

      Research Article Volume 94 Published: 8 July 2020 Article ID 0093

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0093

    • Keywords

       

      Rabinovich–Fabrikant fractional-order system; Duffing fractional-order system; adaptive synchronisation; multiswitching; fractional-order Lyapunov stability theory.

    • Abstract

       

      This paper gives multiswitching synchronisation scheme for a class of fractional-order chaotic systems by combining active and adaptive control theories. Adaptive controllers have been designed by using different laws of switching and fractional-order Lyapunov stability theory. We have also constructed a new fractional-order Duffing system. The fractional-order Duffing system and fractional-order Rabinovich–Fabrikant system have been taken as the drive system and the response system respectively. Applications have been demonstrated. Theoretical analysis and numerical simulations are also given to verify the robustness of the proposed controllers.

    • Author Affiliations

       

      NEETU ANEJA1 P TRIPATHI2 BINAY KUMAR SHARMA3

      1. Department of Mathematics, University of Delhi, New Delhi 110 007, India
      2. Department of Mathematics, D.S.C., University of Delhi, New Delhi 110 003, India
      3. Department of Mathematics, Shaheed Bhagat Singh College, University of Delhi, New Delhi 110 017, India

    • Dates

       
      Published
      8 July 2020
      Manuscript received
      10 January 2019
      Manuscript revised
      19 November 2019
      Accepted
      3 February 2020

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.

Contact | Site index