title: Additive nonparametric reconstruction of dynamical systems from time series.
abstract: We present a nonparametric way to retrieve an additive system of differential equations in embedding space from a single time series. These equations can be treated with dynamical systems theory and allow for long-term predictions. We apply our method to a modified chaotic Chua oscillator in order to demonstrate its potential.
authors.affiliation: Institute of Physics, University of Potsdam, 14415 Potsdam, Germany. markus@stat.physik.uni-potsdam.de
authors.forename: Markus
authors.initials: M
authors.lastname: Abel
authors.forename: Karsten
authors.initials: K
authors.lastname: Ahnert
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths
authors.forename: Simon
authors.initials: S
authors.lastname: Mandelj