Entropy is a powerful tool for the analysis of time series, as it allows describing the
probability distributions of the possible state of a system, and therefore the information …

More than ten years ago Bandt and Pompe introduced a new measure to quantify
complexity in measured time series. During these ten years, this measure has been modified …

Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

We demonstrate that chimera behavior can be observed in nonlocally coupled networks of
excitable systems in the presence of noise. This phenomenon is distinct from classical …

In this paper an approach to identify delay phenomena from time series is developed. We
show that it is possible to perform a reliable time delay identification by using quantifiers …

The complexity-entropy causality plane has been recently introduced as a powerful tool for
discriminating Gaussian from non-Gaussian process and different degrees of correlations …

We analyze the intrinsic time scales of the chaotic dynamics of a semiconductor laser
subject to optical feedback by estimating quantifiers derived from a permutation information …

A symbolic encoding scheme, based on the ordinal relation between the amplitude of
neighboring values of a given data sequence, should be implemented before estimating the …

In 2002, in a seminal article, Bandt and Pompe proposed a new methodology for the
analysis of complex time series, now known as Ordinal Analysis. The ordinal methodology is …

Owing to the nonlinearity and nonstationarity of the bearing fault signal, it is difficult to
identify fault characteristics under the influence of a strong noise environment. The …