In this paper, we introduce a model to describe the decay of the number of unobserved ordinal patterns as a function of the time series length in noisy chaotic dynamics. More precisely, we show that a stretched exponential ...

This article proposes that the combination of smoothing approach considering the entropic information provided by Renyi's method, has an acceptable performance in term of forecasting errors. The methodology of the proposed ...

Intermittency is a route to chaos when transitions between lami-nar and chaotic dynamics occur. The main attribute of intermittency is the reinjection mechanism, described by the reinjection probability density RPD), that ...

Permutation entropy contains the information about the temporal structure associated with the underlying dynamics of a time series. Its estimation is simple, and because it is based on the comparison of neighboring values, ...

Thanks to the simplicity and robustness of its calculation methods, algorithmic (or Kolmogorov) complexity appears as a useful tool to reveal chaotic dynamics when experimental time series are too short and noisy to apply ...

Approximate entropy (ApEn) has been widely used as an estimator of regularity in many scientific fields. It has proved to be a useful tool because of its ability to distinguish different system’s dynamics when there is ...