Classification of strange attractors by integers.

@article{Mindlin1990ClassificationOS,
  title={Classification of strange attractors by integers.},
  author={Mindlin and Hou and Solari and Gilmore and Tufillaro},
  journal={Physical review letters},
  year={1990},
  volume={64 20},
  pages={2350-2353}
}
We show how to characterize a strange attractor by a set of integers. These are extracted from the chaotic time-series data by first reconstructing the low-period orbits and then determining the template, or knot holder, which supports all periodic orbits embedded in the strange attractor, and the strange attractor itself. The template is identified by a set of integers which therefore characterize the strange attractor. This identification is explicitly demonstrated for the Pirogon using a… CONTINUE READING

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