| General Information
Any uncritical application of the methods included in
this toolbox can yield to pitfalls. The users of these programmes
are urged to inform theirself by the basics of nonlinear dynamics
and the problems which can occur therein.
We give no warranties for the results obtained with the
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.
- ECKMANN, J.-P., Ruelle, D.:
Ergodic theory of chaos and strange attractors,
Review of Modern Physics, 57(3), 1985, 617-656.
- GAO, J., Cai, H.:
On the structures and quantification of recurrence plots,
Physics Letters A, 270, 2000, 75--87.
- GROTH, A.:
Visualization of coupling in time series by order recurrence plots,
Physical Review E, 72(4), 046220 (2005).
- MARWAN, N., Kurths, J.:
Nonlinear analysis of bivariate data with cross recurrence plots,
Physics Letters A, 302, 2002, 299--307.
- MARWAN, N., Wessel, N., Meyerfeldt, U., Schirdewan, A., Kurths, J.:
Recurrence Plot Based Measures of Complexity and its Application
to Heart Rate Variability Data, Physical Review E,
66(2), 2002, 026702.
- MARWAN, N., Romano, M. C., Thiel, M., Kurths, J.:
Recurrence Plots for the Analysis of Complex Systems,
Physics Reports, 438(5-6), 2007, 237-329.
- MARWAN, N.:
How to avoid potential pitfalls in recurrence plot based data analysis,
International Journal of Bifurcation and Chaos, 21(4), 2011, 1003-1017.
- THIEL, M., Romano, M. C., Kurths, J., Meucci, R., Allaria, E., Arecchi, F. T.:
Influence of observational noise on the recurrence quantification analysis,
Physica D, 17(3), 2002, 138-152.
- TRULLA, L. L., Giuliani, A., Zbilut, J. P., Webber Jr., C. L.:
Recurrence quantification analysis of the logistic equation with transients,
Physics Letters A, 223, 1996, 255--260.
For a comprehensive bibliography look here:
comprehensive bibliography about RPs, RQA and their applications!
Further information can also be found at www.recurrence-plot.tk.
||GNU general public license