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Transient chaotic behaviour versus periodic motion of a parametric pendulum by recurrence plots
Author(s) -
Litak G.,
Wiercigroch M.,
Horton B.W.,
Xu X.
Publication year - 2010
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200900290
Subject(s) - recurrence plot , pendulum , chaotic , recurrence quantification analysis , parametric statistics , transient (computer programming) , control theory (sociology) , vibration , motion (physics) , plot (graphics) , series (stratigraphy) , mathematics , physics , statistical physics , computer science , nonlinear system , classical mechanics , acoustics , statistics , artificial intelligence , geology , paleontology , control (management) , quantum mechanics , operating system
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.