Detecting unstable periodic orbits in chaotic experimental data

P  So; E  Ott; S J  Schiff; D T  Kaplan; T  Sauer; C  Grebogi

Detecting unstable periodic orbits in chaotic experimental data

P So, E Ott, S J Schiff, D T Kaplan, T Sauer, C Grebogi

Physics

Research output: Contribution to journal › Article › peer-review

149 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 language	English
Pages (from-to)	4705-4708
Number of pages	4
Journal	Physical Review Letters
Volume	76
Issue number	25
Publication status	Published - 17 Jun 1996

Cite this

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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 = "P So and E Ott and Schiff, {S J} and Kaplan, {D T} and T Sauer and C Grebogi",

year = "1996",

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pages = "4705--4708",

journal = "Physical Review Letters",

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T1 - Detecting unstable periodic orbits in chaotic experimental data

AU - So, P

AU - Ott, E

AU - Schiff, S J

AU - Kaplan, D T

AU - Sauer, T

AU - Grebogi, C

PY - 1996/6/17

Y1 - 1996/6/17

N2 - 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.

AB - 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.

M3 - Article

SN - 0031-9007

VL - 76

SP - 4705

EP - 4708

JO - Physical Review Letters

JF - Physical Review Letters

IS - 25

ER -

Detecting unstable periodic orbits in chaotic experimental data

Abstract

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