A simple and effective algorithm for the identification of optimal time delays based on the
geometrical properties of the embedded attractor is presented in this paper. A time series …

A new method for identification of an optimal set of time lags based on non-uniform attractor
embedding from the observed non-linear time series is proposed in this paper. Simple …

The modeling and prediction of chaotic time series require proper reconstruction of the state
space from the available data in order to successfully estimate invariant properties of the …

We address two aspects in chaotic time series analysis, namely the definition of embedding
parameters and the largest Lyapunov exponent. It is necessary for performing state space …

Topologically equivalent attractor reconstruction is one of the major issues in nonlinear
analysis. This is because of the fact that the underlying dynamical model of some nonlinear …

This work discusses the applicability of a method for phase determination of scalar time
series from nonlinear systems. We apply the method to detect phase synchronization in …

In this paper, a method for estimating an attractor embedding dimension based on
polynomial models and its application in investigating the dimension of Bremen climatic …

In the non-linear analysis of scalar time series the common practice is to reconstruct the
state space using time-delay embedding. When there are more than one observed …

Attractor reconstruction is an important step in the process of making predictions for non-
linear time-series and in the computation of certain invariant quantities used to characterize …

The algorithm for the detection of lag synchronization from time series data is presented in
this paper. Multi-variate time series data are re-organized into a sequence of perfect …