Predicting low-dimensional spatiotemporal dynamics using discrete wavelet transforms

Statistics – Computation

Scientific paper

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Computational Techniques, Simulations, Approximation Methods, Equations Of Motion

Scientific paper

A method is presented for predicting spatiotemporal time series whose dynamics is generated by a low-dimensional deterministic dynamical system. It is based on a combination of time delay embedding and wavelet expansion and is also applicable in cases where the dynamics may not be linearly decomposed into the evolution of a small number of spatial modes. As an example, we predict chaotic transversal motions of two Gaussian pulses along a one-dimensional axis.

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