Chaos synchronization of a fractional nonautonomous system

Zakia Hammouch; Toufik Mekkaoui

Nonautonomous Dynamical Systems (2014)

  • Volume: 1, page 61-71, electronic only
  • ISSN: 2353-0626

Abstract

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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 effectiveness of the proposed methods.

How to cite

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Zakia Hammouch, and Toufik Mekkaoui. "Chaos synchronization of a fractional nonautonomous system." Nonautonomous Dynamical Systems 1 (2014): 61-71, electronic only. <http://eudml.org/doc/267097>.

@article{ZakiaHammouch2014,
abstract = {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 effectiveness of the proposed methods.},
author = {Zakia Hammouch, Toufik Mekkaoui},
journal = {Nonautonomous Dynamical Systems},
keywords = {Chaos; Fractional-order system; Active control; PLL; Synchronization; chaos; fractional-order system; active control; synchronization},
language = {eng},
pages = {61-71, electronic only},
title = {Chaos synchronization of a fractional nonautonomous system},
url = {http://eudml.org/doc/267097},
volume = {1},
year = {2014},
}

TY - JOUR
AU - Zakia Hammouch
AU - Toufik Mekkaoui
TI - Chaos synchronization of a fractional nonautonomous system
JO - Nonautonomous Dynamical Systems
PY - 2014
VL - 1
SP - 61
EP - 71, electronic only
AB - 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 effectiveness of the proposed methods.
LA - eng
KW - Chaos; Fractional-order system; Active control; PLL; Synchronization; chaos; fractional-order system; active control; synchronization
UR - http://eudml.org/doc/267097
ER -

References

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