Detecting unstable periodic orbits in chaotic experimental data

Paul So, Edward Ott, Steven Schiff, Daniel T. Kaplan, Tim Sauer, Celso Grebogi

Research output: Contribution to journalArticle

134 Citations (Scopus)

Abstract

A new method is proposed for detecting unstable periodic orbits and their linear stability properties from chaotic experimental time series. Illustrative examples are presented for both numerically and experimentally generated time series. The statistical significance of the results is assessed using surrogate data.

Original languageEnglish (US)
Pages (from-to)4705-4708
Number of pages4
JournalPhysical Review Letters
Volume76
Issue number25
DOIs
StatePublished - Jan 1 1996

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

So, Paul ; Ott, Edward ; Schiff, Steven ; Kaplan, Daniel T. ; Sauer, Tim ; Grebogi, Celso. / Detecting unstable periodic orbits in chaotic experimental data. In: Physical Review Letters. 1996 ; Vol. 76, No. 25. pp. 4705-4708.
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Detecting unstable periodic orbits in chaotic experimental data. / So, Paul; Ott, Edward; Schiff, Steven; Kaplan, Daniel T.; Sauer, Tim; Grebogi, Celso.

In: Physical Review Letters, Vol. 76, No. 25, 01.01.1996, p. 4705-4708.

Research output: Contribution to journalArticle

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