English

Targetability of chaotic sets with small parameter perturbations

Chaotic Dynamics 2010-12-23 v1

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.

Keywords

Cite

@article{arxiv.1012.4907,
  title  = {Targetability of chaotic sets with small parameter perturbations},
  author = {Xiao-Song Yang},
  journal= {arXiv preprint arXiv:1012.4907},
  year   = {2010}
}

Comments

13 pages

R2 v1 2026-06-21T17:02:57.471Z