Recurrence analysis of quasiperiodicity in experimental fluid dataY. Zou1, 2, M. Thiel3, M.C. Romano3, P.L. Read4 and J. Kurths1, 2, 5
1 Potsdam Institute for Climate Impact Research, PO Box 601203, 14412 Potsdam, Germany
2 Nonlinear Dynamics Group, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany
3 Department of Physics, University of Aberdeen, Aberdeen AB 24 3UE, UK
4 Atmospheric, Oceanic and Planetary Physics, Clarendon Laboratory, Parks Road, Oxford OX1 3PU, UK
5 Institut für Physik, Humboldt Universität zu Berlin, Newtonstr. 15, 12489 Berlin, Germany
We propose a procedure to analyze experimental data which exhibit different dynamical regimes, namely, periodicity, chaoticity and quasiperiodicity by means of Recurrence Plots (RPs). We show that, based on the recurrence properties captured by RPs, we are able to characterize successfully the type of dynamics. This approach is particularly useful for detecting the existence of quasiperiodic motion in short time series. We show the capability and validity of this method by analyzing time series from fluid experiments.
© EDP Sciences, Springer-Verlag 2008