Phys. Rev. Lett. 64, 2350–2353 (1990)Classification of strange attractors by integersReceived 4 December 1989; published in the issue dated 14 May 1990 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). © 1990 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.64.2350
DOI:
10.1103/PhysRevLett.64.2350
PACS:
05.45.+b
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