Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2008-08-06
Nonlinear Sciences
Chaotic Dynamics
7 pages, 5 figures, 2 tables, submitted to PRE
Scientific paper
10.1103/PhysRevE.78.036206
For oscillating time series, the prediction is often focused on the turning points. In order to predict the turning point magnitudes and times it is proposed to form the state space reconstruction only from the turning points and modify the local (nearest neighbor) model accordingly. The model on turning points gives optimal prediction at a lower dimensional state space than the optimal local model applied directly on the oscillating time series and is thus computationally more efficient. Monte Carlo simulations on different oscillating nonlinear systems showed that it gives better predictions of turning points and this is confirmed also for the time series of annual sunspots and total stress in a plastic deformation experiment.
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