TY - GEN
A1 - Dierkes, Thomas
T1 - Construction of ODE systems from time series data by a highly flexible modelling approach
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 [1], and a simple damped pendulum system with a highly non-linear right-hand
side is recovered from some artificial but very sparse data [2].
T3 - ZIB-Report - 15-59
Y1 - 2015
UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/5676
UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-56768
SN - 1438-0064
ER -