Classification of strange attractors by integers

Gabriel B. Mindlin, Xin-Jun Hou, Hernán G. Solari, R. Gilmore, and N. B. Tufillaro
Phys. Rev. Lett. 64, 2350 – Published 14 May 1990
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Abstract

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 relatively small data set (5000 points).

  • Received 4 December 1989

DOI:https://doi.org/10.1103/PhysRevLett.64.2350

©1990 American Physical Society

Authors & Affiliations

Gabriel B. Mindlin, Xin-Jun Hou, Hernán G. Solari, R. Gilmore, and N. B. Tufillaro

  • Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104-9984
  • Department of Physics, Bryn Mawr College, Bryn Mawr, Pennsylvania 19010-2899

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Vol. 64, Iss. 20 — 14 May 1990

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