Eur. Phys. J. B 69, 529-538 (2009)
https://doi.org/10.1140/epjb/e2009-00202-8

Modeling spatio-temporal field evolution

Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, 1000 Ljubljana, Slovenia

Corresponding author: ^a anamarijia.bracic@fs.uni-lj.si

Received: 4 April 2008
Revised: 21 April 2009
Published online: 16 June 2009

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.