Detecting unstable periodic orbits in chaotic experimental data

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

Research output: Contribution to journalArticlepeer-review

139 Scopus citations

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

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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