The European Physical Journal B

, Volume 69, Issue 4, pp 529–538 | Cite as

Modeling spatio-temporal field evolution

Statistical and Nonlinear Physics

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.

PACS

06.20.Dk Measurement and error theory 02.50.-r Probability theory, stochastic processes, and statistics 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Faculty of Mechanical EngineeringUniversity of LjubljanaLjubljanaSlovenia

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