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Targeting and control in simple dynamical systems

Girish Nathan
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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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Girish Nathan. 2002-06-06. Targeting and control in simple dynamical systems. https://arxiv.org/abs/nlin/0206005

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