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

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

Keywords

Chaos, multidimensional control

Abstract

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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