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Characterization of an experimental strange attractor by periodic orbits

Daniel P. Lathrop and Eric J. Kostelich
Phys. Rev. A 40, 4028 – Published 1 October 1989
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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.

  • Received 18 January 1989

DOI:https://doi.org/10.1103/PhysRevA.40.4028

©1989 American Physical Society

Authors & Affiliations

Daniel P. Lathrop

  • Center for Nonlinear Dynamics and Department of Physics, University of Texas, Austin, Texas 78712

Eric J. Kostelich

  • Institute for Physical Science and Technology and Department of Mathematics, University of Maryland, College Park, Maryland 20742
  • Center for Nonlinear Dynamics and Department of Physics, University of Texas, Austin, Texas 78712

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Vol. 40, Iss. 7 — October 1989

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