Classification of strange attractors by integers
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).
- Publication:
-
Physical Review Letters
- Pub Date:
- May 1990
- DOI:
- 10.1103/PhysRevLett.64.2350
- Bibcode:
- 1990PhRvL..64.2350M
- Keywords:
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- 05.45.+b