Targetability of chaotic sets with small parameter perturbations
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2010
- DOI:
- arXiv:
- arXiv:1012.4907
- Bibcode:
- 2010arXiv1012.4907Y
- Keywords:
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- Nonlinear Sciences - Chaotic Dynamics;
- 34H10;
- 93C15;
- 49K15
- E-Print:
- 13 pages