Noisy-chaotic time series and the forbidden/missing patterns paradigm

Details Noisy-chaotic time series and the forbidden/missing patterns paradigm Noisy-chaotic time series and the forbidden/missing patterns paradigm

2011-10-04

arxiv.org/abs/1110.0776v1

Physics

Condensed Matter

Statistical Mechanics

submitted to Physica A (october 2011). arXiv admin note: text overlap with arXiv:1105.4550

Scientific paper

We deal here with the issue of determinism versus randomness in time series. One wishes to identify their relative importance in a given time series. To this end we extend i) the use of ordinal patterns-based probability distribution functions associated with a time series [Bandt and Pompe, Phys. Rev. Lett. 88 (2002) 174102] and ii) the so-called Amig\'o paradigm of forbidden/missing patterns [Amig\'o, Zambrano, Sanju\'an, Europhys. Lett. 79 (2007) 50001], to analyze deterministic finite time series contaminated with strong additive noises of different correlation-degree. Insights pertaining to the deterministic component of the original time series are obtained with the help of the causal entropy-complexity plane [Rosso et al. Phys. Rev. Lett. 99 (2007) 154102].

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