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arXiv · 0809.0239

Local control of area-preserving maps

Cristel Chandre·Michel Vittot·Guido Ciraolo
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Abstract

We present a method of control of chaos in area-preserving maps. This method gives an explicit expression of a control term which is added to a given area-preserving map. The resulting controlled map which is a small and suitable modification of the original map, is again area-preserving and has an invariant curve whose equation is explicitly known.

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Cristel Chandre, Michel Vittot, Guido Ciraolo. 2008-09-01. Local control of area-preserving maps. https://doi.org/10.1142/9789812818805_0010

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