Characterization of an experimental strange attractor by periodic orbits

Daniel P. Lathrop, Eric Kostelich

Research output: Contribution to journalArticle

270 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)4028-4031
Number of pages4
JournalPhysical Review A
Volume40
Issue number7
DOIs
StatePublished - 1989
Externally publishedYes

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strange attractors
saddles
orbits
estimates
chemical reactions
eigenvalues
exponents
entropy

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Characterization of an experimental strange attractor by periodic orbits. / Lathrop, Daniel P.; Kostelich, Eric.

In: Physical Review A, Vol. 40, No. 7, 1989, p. 4028-4031.

Research output: Contribution to journalArticle

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