Abstract
Prediction of spatio-temporal field evolution is based on the extraction of a physical law from joint experimental data. This extraction is usually described by a set of differential equations. If the only source of information is a field record, a method of field generators based on nonparametric modeling by conditional average can successfully replace differential equations. In this article we apply the method of field generators to a two-dimensional chaotic field record that describes the asynchronous motion of high-amplitude striations. We show how to choose the model structure in order to optimize the quality of the prediction process.
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Borštnik Bračič, A., Grabec, I. & Govekar, E. Modeling spatio-temporal field evolution. Eur. Phys. J. B 69, 529–538 (2009). https://doi.org/10.1140/epjb/e2009-00202-8
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DOI: https://doi.org/10.1140/epjb/e2009-00202-8