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Scilab Based Toolbox for Fractional-order Chaotic Systems

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Book cover Fractional-order Systems and PID Controllers

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 264))

Abstract

In this chapter, a Scilab based toolbox has been developed for fractional-order chaotic systems. The systems include fractional-order Van der Pol and duffing oscillators and fractional-order Lorenz, Chen and Rössler’s systems. The dynamic behavior of these systems has been analyzed for various commensurate and non-commensurate orders using Scilab. In all these cases, the numerical solution has been obtained using Grünwald-Letnikov’s definition for fractional-order derivative.

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Authors and Affiliations

  1. Institute of Autonomous Systems, Universiti Teknologi PETRONAS, Perak, Malaysia

    Kishore Bingi

  2. Department of Electrical and Electronic Engineering, Universiti Teknologi PETRONAS, Perak, Malaysia

    Rosdiazli Ibrahim & Mohd Noh Karsiti

  3. Department of Electrical and Electronics Engineering, Abubakar Tafawa Balewa University, Bauchi, Nigeria

    Sabo Miya Hassan

  4. Instrumentation and Control, PETRONAS Group Technical Solutions, Petaling Jaya, Malaysia

    Vivekananda Rajah Harindran

Authors
  1. Kishore Bingi
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  2. Rosdiazli Ibrahim
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  3. Mohd Noh Karsiti
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  4. Sabo Miya Hassan
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  5. Vivekananda Rajah Harindran
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Correspondence to Kishore Bingi .

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Bingi, K., Ibrahim, R., Karsiti, M.N., Hassan, S.M., Harindran, V.R. (2020). Scilab Based Toolbox for Fractional-order Chaotic Systems. In: Fractional-order Systems and PID Controllers. Studies in Systems, Decision and Control, vol 264. Springer, Cham. https://doi.org/10.1007/978-3-030-33934-0_5

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