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Suppressing chaos in fractional-order systems by periodic perturbations on system variables

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Abstract

Based on extensive numerical and computer-graphical simulations, it is shown that fractional-order chaotic systems can be stabilized by slightly perturbing the system state variables periodically. In this chaos control scheme, the tunable parameters are chosen empirically. The effectiveness of this chaos control method is demonstrated by fractional-order Lorenz, Chen and Rössler systems, where the underlying initial value problems are numerically integrated by using the Grünwald-Letnikov method.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Avram Iancu University, 400380, Cluj-Napoca, Romania

    Marius-F. Danca

  2. Romanian Institute of Science and Technology, 400487, Cluj-Napoca, Romania

    Marius-F. Danca

  3. Department of Electronic Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, P.R. China

    Wallace K. S. Tang & Guanrong Chen

  4. Department of Dynamics and Control, Beihang University, Beijing, 100191, P.R. China

    Qingyun Wang

Authors
  1. Marius-F. Danca
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  2. Wallace K. S. Tang
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  3. Qingyun Wang
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  4. Guanrong Chen
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Correspondence to Marius-F. Danca.

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Danca, MF., Tang, W.K.S., Wang, Q. et al. Suppressing chaos in fractional-order systems by periodic perturbations on system variables. Eur. Phys. J. B 86, 79 (2013). https://doi.org/10.1140/epjb/e2012-31008-0

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  • DOI: https://doi.org/10.1140/epjb/e2012-31008-0

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