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Applying Blind Chaos Control to Find Periodic Orbits

Chaotic Dynamics 2007-05-23 v1

Abstract

Analysis of the PPF chaos control method used in biological experiments shows that it can robustly control a wider class of systems than previously believed, including those without stable manifolds. This can be exploited to find the locations of unstable periodic orbits by varying the parameters of the control system.

Keywords

Cite

@article{arxiv.nlin/0001058,
  title  = {Applying Blind Chaos Control to Find Periodic Orbits},
  author = {Daniel T. Kaplan},
  journal= {arXiv preprint arXiv:nlin/0001058},
  year   = {2007}
}

Comments

5 pages, 4 figures