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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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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DOI: https://doi.org/10.1007/978-3-030-33934-0_5
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