False nearest neighbors (FNN) is one of the essential methods used in estimating the
minimally sufficient embedding dimension in delay-coordinate embedding of deterministic …

The method of false nearest neighbors [MB Kennel, R. Brown, and HDI Abarbanel, Phys.
Rev. A 45, 3403 (1992)] has been proposed for detecting deterministic structure in empirical …

The false-nearest-neighbors (FNN) algorithm was originally developed to determine the
embedding dimension for autonomous time series. For noise-free computer-generated time …

In the field of nonlinear dynamics, many methods have been proposed to tackle the issue of
optimally setting embedding dimension and lag in order to analyze sampled scalar signals …

Determining embedding dimension is considered as one of the most important steps in
nonlinear time series modelling and prediction. A number of methods have been developed …

A method is described for determining the optimal short-term prediction time-delay
embedding dimension for a scalar time series by training an artificial neural network on the …

Using the method or time-delayed embedding, a signal can be embedded into higher-
dimensional space in order to study its dynamics. This requires knowledge of two …

A practical method is proposed to determine the minimum embedding dimension from a
scalar time series. It has the following advantages:(1) does not contain any subjective …

We show that the combined use of correlation dimension (D2) and correlation entropy (K2)
as discriminating measures can extract a more accurate information regarding the different …

In the analysis of chaotic time series, a standard technique is to reconstruct an image of the
original dynamical system using delay coordinates. If the original dynamical system has an …