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posted on 2022-03-11, 18:30 authored by Kathrin Viol, Helmut Schöller, Andreas Kaiser, Clemens Fartacek, Wolfgang Aichhorn, Günter Schiepek

A) Different positions of the simulated transition point (TP) at T = 20 (left), T = 50 (middle) and T = 80 (right). B) Different levels of noise were added to the original time series in order to investigate the effect on the PTDA. Left: Original time series without noise (deterministic). Middle: original time series with noise with a variance of +50% of the variance of the original time series. Right: original time series with noise with a variance of +90% of the variance of the original time series. C) Prolonged transitions. The upper rows show the time series resulting from the parameter increases (lower row). Left: original time series with a sudden pattern transition induced by an instantaneous increase of the control parameter from one to the next iteration. Middle and right: Time series and linear parameter increases in intervals of 10, 20, and 30 iterations (time points). X-axis: time series length. Y-axis: Rage of the time series values. C lower row: drift of parameter values.

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