English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We deal here with the issue of determinism versus randomness in time series.One wishes to identify their relative weights in a given time series. Twodifferent tools have been advanced in the literature to such effect, namely, i)the "causal" entropy-complexity plane [Rosso et al. Phys. Rev. Lett. 99 (2007)154102] and ii) the estimation of the decay rate of missing ordinal patterns[Amig\'o et al. Europhys. Lett. 79 (2007) 50001, and Carpi et al. Physica A 389(2010) 2020-2029]. In this work we extend the use of these techniques toaddress the analysis of deterministic finite time series contaminated withadditive noises of different degree of correlation. The chaotic series studiedhere was via the logistic map (r = 4) to which we added correlated noise(colored noise with f-k Power Spectrum, 0 {\leq} k {\leq} 2) of varyingamplitudes. In such a fashion important insights pertaining to thedeterministic component of the original time series can be gained. We find thatin the entropy-complexity plane this goal can be achieved without additionalcomputations.

Causality and the Entropy-Complexity Plane: Robustness and Missing Ordinal Patterns