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

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.

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