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

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Original languageEnglish
Article number79
Journal / PublicationEuropean Physical Journal B
Volume86
Issue number3
Publication statusPublished - Mar 2013

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. © 2013 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.