Higher-dimensional targeting.

@article{Kostelich1993HigherdimensionalT,
  title={Higher-dimensional targeting.},
  author={Kostelich and Grebogi and Ott and Yorke},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  year={1993},
  volume={47 1},
  pages={305-310}
}
This paper describes a procedure to steer rapidly successive iterates of an initial condition on a chaotic attractor to a small target region about any prespecified point on the attractor using only small controlling perturbations. Such a procedure is called "targeting. " Previous work on targeting for chaotic attractors has been in the context of oneand two-dimensional maps. Here it is shown that targeting can also be done in higher-dimensional cases. The method is demonstrated with a… CONTINUE READING
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