Theoretical Background
Warning
Any uncritical application of the methods included in this toolbox can yield to pitfalls. The users of these programmes are urged to inform themselves by the basics of nonlinear dynamics and the problems which can occur therein.We give no warranties for the results obtained with the toolbox.
The toolbox programmes are based on modern methods of nonlinear data analysis. The following literature is highly recommended to get introduced into nonlinear dynamics, recurrence plots, and related methods and to avoid wrong usage or misinterpretation.
- J.-P. Eckmann, D. Ruelle: Ergodic theory of chaos and strange attractors, Review of Modern Physics, 57(3), 617-656 (1985). DOI:10.1103/RevModPhys.57.617
- N. Marwan, M. C. Romano, M. Thiel, J. Kurths: Recurrence Plots for the Analysis of Complex Systems, Physics Reports, 438(5–6), 237–329 (2007). DOI:10.1016/j.physrep.2006.11.001
- N. Marwan: How to avoid potential pitfalls in recurrence plot based data analysis, International Journal of Bifurcation and Chaos, 21(4), 1003–1017 (2011). DOI:10.1142/S0218127411029008
- Y. Zou, R. V. Donner, N. Marwan, J. F. Donges, J. Kurths: Complex network approaches to nonlinear time series analysis, Physics Reports, 787, 1–97 (2019). DOI:10.1016/j.physrep.2018.10.005
For a comprehensive bibliography look a a comprehensive bibliography about RPs, RQA and their applications! Further information can also be found at www.recurrence-plot.tk.
© N. Marwan, 2024Potsdam Institute for Climate Impact Research
Dept. Complexity Science
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