Characterization of an experimental strange attractor by periodic orbits

  • Lathrop D
  • Kostelich E
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Abstract

We describe a general procedure to locate periodic saddle orbits in a chaotic attractor reconstructed
from experimental data. The method is applied to data from a Belousov-Zhabotinskii
chemical reaction. The eigenvalues associated with the saddle orbits are used to estimate the
Lyapunov exponents. An analysis of the next amplitude map determines the allowable periodic orbits
and yields an estimate of the topological entropy.

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Authors

  • Daniel P. Lathrop

  • Eric J. Kostelich

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