Transient chaotic behaviour versus periodic motion of a parametric pendulum by recurrence plots

G Litak; M Wiercigroch; B W Horton; X Xu

doi:10.1002/zamm.200900290

Transient chaotic behaviour versus periodic motion of a parametric pendulum by recurrence plots

G Litak, M Wiercigroch, B W Horton, X Xu

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

30 Citations (Scopus)

Abstract

We investigated dynamic responses of a parametric pendulum obtained experimentally. Using the recurrence plot technique designed to analyze experimental time series we have distinguished different types of motion. This method, supplemented by recurrence quantification analysis (RQA), has been used to identify oscillations, rotations, and transient chaotic vibrations for relatively short time series composed of only few cycles.

Original language	English
Pages (from-to)	33-41
Number of pages	9
Journal	Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
Volume	90
Issue number	1
Early online date	24 Nov 2009
DOIs	https://doi.org/10.1002/zamm.200900290
Publication status	Published - Jan 2010

Keywords

parametric pendulum
recurrence plot
chaotic vibration

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abstract = "We investigated dynamic responses of a parametric pendulum obtained experimentally. Using the recurrence plot technique designed to analyze experimental time series we have distinguished different types of motion. This method, supplemented by recurrence quantification analysis (RQA), has been used to identify oscillations, rotations, and transient chaotic vibrations for relatively short time series composed of only few cycles.",

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author = "G Litak and M Wiercigroch and Horton, {B W} and X Xu",

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AB - We investigated dynamic responses of a parametric pendulum obtained experimentally. Using the recurrence plot technique designed to analyze experimental time series we have distinguished different types of motion. This method, supplemented by recurrence quantification analysis (RQA), has been used to identify oscillations, rotations, and transient chaotic vibrations for relatively short time series composed of only few cycles.

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KW - recurrence plot

KW - chaotic vibration

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DO - 10.1002/zamm.200900290

M3 - Article

SN - 0044-2267

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JO - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)

JF - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)

IS - 1

ER -

Transient chaotic behaviour versus periodic motion of a parametric pendulum by recurrence plots

Abstract

Keywords

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