From Strange Attractors to Real-World Data: Evaluating a Bedform Model by Measuring the Distance Between State-Space Plots |
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Authors: | A Brad Murray |
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Institution: | (1) Complex Systems Laboratory, Cecil and Ida M. Green Institute of Geophysics and Planetary Physics, University of California, San Diego, La Jolla, California, 92093. Division of Earth and Ocean Science, Duke University, Durham, North Carolina, 27708 |
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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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Keywords: | nonlinear data analysis time series delay coordinate embedding probability distribution eolian ripples |
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