Potsdam Institute for Climate Impact Research (PIK)
Interdisciplinary Center for Dynamics of Complex Systems (University of Potsdam)
TOCSY - Toolboxes for Complex Systems
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K2 - Dynamical Invariants by Recurrence Plots

(online demo) Currently not working. Sorry for inconvenience!


General Notes

Recurrence plots contain information about the dynamics of the system. It is possible, to derive dynamical invariants, like K2 entropy, from the recurrence plots. For further explanation have a look at www.recurrence-plot.tk/invariants.php.


Online Computation – Automatic Algorithm

  Data     (data format?)
 Upload:   Example (Bernoulli map)
  Parameters
use real koordinates with dimension
embed data with embedding dimension   and delay

τ= Npoints=     
rlow= rhigh= rcount= lmax= pmin=
nclass= nclass2=

References

  1. Thiel, M., Romano, M. C., J. Kurths, J.: Analytical Description of Recurrence Plots of white noise and chaotic processes, Izvestija vyssich ucebnych zavedenij/ Prikladnaja nelinejnaja dinamika - Applied Nonlinear Dynamics, 11(3), 2003, 20-30.

  2. 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, 10.1016/j.physrep.2006.11.001.


Authors

Marco Thiel, Mamen Romano, André Bergner




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© 2004-2012 SOME RIGHTS RESERVED
University of Potsdam, Interdisciplinary Center for Dynamics of Complex Systems, Germany
Potsdam Institute for Climate Impact Research, Transdisciplinary Concepts and Methods, Germany
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 2.0 Germany License.

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