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

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

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25 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 languageEnglish
Pages (from-to)33-41
Number of pages9
JournalJournal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
Volume90
Issue number1
Early online date24 Nov 2009
DOIs
Publication statusPublished - Jan 2010

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Keywords

  • parametric pendulum
  • recurrence plot
  • chaotic vibration

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