Additive Nonparametric Reconstruction of Dynamical Systems from Time Series

Details Additive Nonparametric Reconstruction of Dynamical Systems from Time Series Additive Nonparametric Reconstruction of Dynamical Systems from Time Series

2004-08-02

arxiv.org/abs/nlin/0408003v2

Nonlinear Sciences

Chaotic Dynamics

accepted for Phys. Rev. E, Rapid Comm

Scientific paper

10.1103/PhysRevE.71.015203

We present a nonparametric way to retrieve a 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
demonstrate the potential of our approach for a modified chaotic Chua
oscillator.

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