Eur. Phys. J. B (2013) 86: 79
https://doi.org/10.1140/epjb/e2012-31008-0

Regular Article

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

¹ Department of Mathematics and Computer Science, Avram Iancu University, 400380 Cluj-Napoca, Romania
² Romanian Institute of Science and Technology, 400487 Cluj-Napoca, Romania
³ Department of Electronic Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, P.R. China
⁴ Department of Dynamics and Control, Beihang University, Beijing 100191, P.R. China

^a e-mail: danca@rist.ro

Received: 5 November 2012
Received in final form: 19 December 2012
Published online: 4 March 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.