Targeting and control in simple dynamical systems
Girish Nathan
Abstract
A simple algorithm is described to target any desired operation point for simple one-dimensional and two-dimensional dynamical systems. What makes the algorithm unique is the fact that it targets any desired point, not merely a stable/unstable fixed point of the dynamics. It is shown how the method may be applied to the logistic map and the Hénon map. Generalisations to the case of n-dimensional dynamical systems are discussed.
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