5676
eng
reportzib
0
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2015-12-11
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Construction of ODE systems from time series data by a highly flexible modelling approach
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].
1438-0064
urn:nbn:de:0297-zib-56768
Published in ArXiv
no
Thomas Dierkes
Mascha Berg
ZIB-Report
15-59
Time series analysis
Inverse problems
Systems biology, networks
Population dynamics (general)
Numerical Mathematics
Computational Systems Biology
Dierkes, Thomas
GynSys
P4milk
PAEON
https://opus4.kobv.de/opus4-zib/files/5676/ZIBReport_GenericYetFlexible.pdf