The identification of continuous, spatiotemporal systems

H. Voss; M. J. Bünner; M. Abel

doi:10.1103/physreve.57.2820

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arXiv · chao-dyn/9907010

The identification of continuous, spatiotemporal systems

H. Voss·M. J. Bünner·M. Abel

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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.

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H. Voss, M. J. Bünner, M. Abel. 1999-06-30. The identification of continuous, spatiotemporal systems. https://doi.org/10.1103/physreve.57.2820

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