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
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2013