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

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Delhi, New Delhi , 110 007, India

    Neetu Aneja

  2. Department of Mathematics, D.S.C., University of Delhi, New Delhi , 110 003, India

    P Tripathi

  3. Department of Mathematics, Shaheed Bhagat Singh College, University of Delhi, New Delhi , 110 017, India

    Binay Kumar Sharma

Authors
  1. Neetu Aneja
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  2. P Tripathi
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  3. Binay Kumar Sharma
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Correspondence to Neetu Aneja.

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Aneja, N., Tripathi, P. & Sharma, B.K. Novel fractional-order chaotic systems of different order and multiswitching synchronisation. Pramana - J Phys 94, 93 (2020). https://doi.org/10.1007/s12043-020-01952-7

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  • DOI: https://doi.org/10.1007/s12043-020-01952-7

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