The identification of continuous, spatiotemporal systems
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
We present a method for the identification of continuous, spatiotemporal dynamics from experimental data. We use a model in the form of a partial differential equation and formulate an optimization problem for its estimation from data. The solution is found as a multivariate nonlinear regression problem using the ACE-algorithm. The procedure is successfully applied to data, obtained by simulation of the Swift-Hohenberg equation. There are no restrictions on the dimensionality of the investigated system, allowing for the analysis of high-dimensional chaotic as well as transient dynamics. The demands on the experimental data are discussed as well as the sensitivity of the method towards noise.
Cite
@article{arxiv.chao-dyn/9907010,
title = {The identification of continuous, spatiotemporal systems},
author = {H. Voss and M. J. Bünner and M. Abel},
journal= {arXiv preprint arXiv:chao-dyn/9907010},
year = {2009}
}