SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 45: Poster: Nonlinear Dynamics, Pattern Formation and Networks

DY 45.2: Poster

Donnerstag, 30. März 2023, 13:00–16:00, P1

Preprocessing algorithms for the estimation of ordinary differential equation models with polynomial nonlinearities — •Oliver Strebel — Angelstr. 17, 75392 Deckenpfronn

The data analysis task of determining a model for an ordinary differential equation (ODE) system from given noisy solution data is addressed. Based on a previously published parameter estimation method for ODE models [1] four related model estimation algorithms were developed. The algorithms are tested for over 20 different polynomial ordinary equation systems comprising 60 equations at various noise levels. Two algorithms frequently compute the correct model [2]. They are compared to the prominent SINDy-family for those SINDy-algorithms that have simple default hyperparameters [3]. A novel and successful method for determining the parameter of Tikhonov regularization when calculating numerical differentials is also presented.

[1] O. Strebel: http://dx.doi.org/10.1016/j.chaos.2013.08.015

[2] O. Strebel: https://osf.io/89djt/

[3] S. Brunton et al: http://dx.doi.org/10.1073/pnas.1517384113