Detecting unstable periodic orbits in chaotic experimental data

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

Research output: Contribution to journalArticle

135 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
Pages (from-to)4705-4708
Number of pages4
JournalPhysical Review Letters
Volume76
Issue number25
Publication statusPublished - 17 Jun 1996

Cite this

So, P., Ott, E., Schiff, S. J., Kaplan, D. T., Sauer, T., & Grebogi, C. (1996). Detecting unstable periodic orbits in chaotic experimental data. Physical Review Letters, 76(25), 4705-4708.

Detecting unstable periodic orbits in chaotic experimental data. / So, P ; Ott, E ; Schiff, S J ; Kaplan, D T ; Sauer, T ; Grebogi, C .

In: Physical Review Letters, Vol. 76, No. 25, 17.06.1996, p. 4705-4708.

Research output: Contribution to journalArticle

So, P, Ott, E, Schiff, SJ, Kaplan, DT, Sauer, T & Grebogi, C 1996, 'Detecting unstable periodic orbits in chaotic experimental data' Physical Review Letters, vol. 76, no. 25, pp. 4705-4708.
So P, Ott E, Schiff SJ, Kaplan DT, Sauer T, Grebogi C. Detecting unstable periodic orbits in chaotic experimental data. Physical Review Letters. 1996 Jun 17;76(25):4705-4708.
So, P ; Ott, E ; Schiff, S J ; Kaplan, D T ; Sauer, T ; Grebogi, C . / Detecting unstable periodic orbits in chaotic experimental data. In: Physical Review Letters. 1996 ; Vol. 76, No. 25. pp. 4705-4708.
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