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Nonautonomous Dynamical Systems

formerly Nonautonomous and Stochastic Dynamical Systems

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Chaos synchronization of a fractional nonautonomous system

Zakia Hammouch
  • Corresponding author
  • E3MI Group Department of Mathematics„ FSTE Moulay Ismail University„ BP 509 Boutalamine Errachidia 52000, Morocco
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  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Toufik Mekkaoui
  • E3MI Group Department of Mathematics„ FSTE Moulay Ismail University„ BP 509 Boutalamine Errachidia 52000, Morocco
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2014-03-20 | DOI: https://doi.org/10.2478/msds-2014-0001


In this paper we investigate the dynamic behavior of a nonautonomous fractional-order biological system.With the stability criterion of active nonlinear fractional systems, the synchronization of the studied chaotic system is obtained. On the other hand, using a Phase-Locked-Loop (PLL) analogy we synchronize the same system. The numerical results demonstrate the efiectiveness of the proposed methods

Keywords: Chaos; Fractional-order system; Active control; PLL; Synchronization


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About the article

Received: 2013-12-30

Accepted: 2014-02-14

Published Online: 2014-03-20

Published in Print: 2014-01-01

Citation Information: Nonautonomous Dynamical Systems, ISSN (Online) 2353-0626, DOI: https://doi.org/10.2478/msds-2014-0001.

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© 2014 Zakia Hammouch, Toufik Mekkaoui. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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