Detecting unstable periodic orbits in chaotic experimental data

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

doi:10.1103/PhysRevLett.76.4705

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 journal › Article › peer-review

153 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 language	English (US)
Pages (from-to)	4705-4708
Number of pages	4
Journal	Physical review letters
Volume	76
Issue number	25
DOIs	https://doi.org/10.1103/PhysRevLett.76.4705
State	Published - 1996

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.76.4705

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title = "Detecting unstable periodic orbits in chaotic experimental data",

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.",

author = "Paul So and Edward Ott and Schiff, {Steven J.} and Kaplan, {Daniel T.} and Tim Sauer and Celso Grebogi",

year = "1996",

doi = "10.1103/PhysRevLett.76.4705",

language = "English (US)",

volume = "76",

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journal = "Physical review letters",

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publisher = "American Physical Society",

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AU - So, Paul

AU - Ott, Edward

AU - Schiff, Steven J.

AU - Kaplan, Daniel T.

AU - Sauer, Tim

AU - Grebogi, Celso

PY - 1996

Y1 - 1996

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U2 - 10.1103/PhysRevLett.76.4705

DO - 10.1103/PhysRevLett.76.4705

M3 - Article

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SP - 4705

EP - 4708

JO - Physical review letters

JF - Physical review letters

IS - 25

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Detecting unstable periodic orbits in chaotic experimental data

Abstract

All Science Journal Classification (ASJC) codes

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