Abstract
A new nonlinear data-analysis technique compares the typical sequences in different time or spatial series. The method quantitatively compares delay-coordinate embedded state-space plots by treating them plots as probability distributions. Thus its application is not limited to data generated by deterministic systems, and does not require knowledge of a system's dimension. In a preliminary application, comparing state-space plots of natural and model-generated eolian ripples suggests that the interactions in them have similarities with those in nature, and that this method can be of use as an additional model evaluation tool.
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Murray, A.B. From Strange Attractors to Real-World Data: Evaluating a Bedform Model by Measuring the Distance Between State-Space Plots. Mathematical Geology 33, 293–300 (2001). https://doi.org/10.1023/A:1007634122624
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DOI: https://doi.org/10.1023/A:1007634122624