Multifractality is ubiquitously observed in complex natural and socioeconomic systems.
Multifractal analysis provides powerful tools to understand the complex nonlinear nature of …

Delay embedding methods are a staple tool in the field of time series analysis and
prediction. However, the selection of embedding parameters can have a big impact on the …

The paradigm of deterministic chaos has influenced thinking in many fields of science.
Chaotic systems show rich and surprising mathematical structures. In the applied sciences …

The quality of attractor reconstruction using the method of delays is known to be sensitive to
the delay parameter, τ. Here we develop a new, computationally efficient approach to …

The most common state space reconstruction method in the analysis of chaotic time series is
the Method of Delays (MOD). Many techniques have been suggested to estimate the …

This paper reports on the application to field measurements of time series methods
developed on the basis of the theory of deterministic chaos. The major difficulties are …

Smart grid applications are becoming increasingly popular, as they aim to meet the energy
requirements with innovative solutions by integrating the latest digital communications and …

Within the field of chaos theory several methods for the analysis of complex dynamical
systems have recently been proposed. In light of these ideas we study the dynamics which …

Впервые в мировой практике систематически изложены новые технологии
исследования вариабельности сердечного ритма, основанные на современных …

The false nearest neighbor method introduced by Kennel et al.[Phys. Rev. A 45, 3403
(1992)] is revisited and modified in order to ensure a correct distinction between low …