TY - JOUR
A1 - Dierkes, Thomas
T1 - Construction of ODE systems from time series data by a highly flexible modelling approach
T2 - ArXiv e-prints
N2 - In this paper, a down-to-earth approach to purely data-based modelling of unknown dynamical systems is presented. Starting from a classical, explicit ODE formulation y=f(t,y) of a dynamical system, a method determining the unknown right-hand side f(t,y) from some trajectory data y_k(t_j), possibly very sparse, is given. As illustrative examples, a semi-standard predator-prey model is reconstructed from a data set describing the population numbers of hares and lynxes over a period of twenty years, and a simple damped pendulum system with a highly non-linear right-hand side is recovered from some artificial but very sparse data.
Y1 - 2015
UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/5678
VL - math.NA 1512.03357
ER -