The identification of continuous, spatiotemporal systems

Details The identification of continuous, spatiotemporal systems The identification of continuous, spatiotemporal systems

1999-06-30

arxiv.org/abs/chao-dyn/9907010v1

Phys. Rev. E 57 (1998) 2820

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevE.57.2820

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.

Affiliated with

Also associated with

No associations

Rating

The identification of continuous, spatiotemporal systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The identification of continuous, spatiotemporal systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The identification of continuous, spatiotemporal systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-462631