Targetability of chaotic sets with small parameter perturbations

Details Targetability of chaotic sets with small parameter perturbations Targetability of chaotic sets with small parameter perturbations

2010-12-22

arxiv.org/abs/1012.4907v1

Nonlinear Sciences

Chaotic Dynamics

13 pages

Scientific paper

In this paper targetability of chaotic sets with small controls is discussed
by virtue of some results of geometric control theory. It is proved that given
a chaotic set {\Lambda}, it is possible to steer a orbit in to every final
state in some neighborhood of the chaotic set by suitable small perturbations
to the parameters of the system under the Lie rank condition.

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