A Multi-Dimensional Scheme for Controlling Unstable Periodic Orbits in Chaotic Systems

N. Chakravarthy, K. Tsakalis, L.D. Iasemidis, and A. Spanias (USA)


Chaos, multi-dimensional control


The control of unstable periodic orbits (UPOs) in chaotic systems by applying a weighted sum of external periodic inputs (basis functions) is herein proposed. The generic set of basis functions is used to stabilize different UPOs. All parameters associated with this multi-dimensional con trol scheme are experimentally computed. The proposed control scheme offers easy implementation for a wide va riety of dynamical systems. The application of the control scheme to the chaotic Lorenz system is demonstrated.

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