The problem of reconstructing nonlinear and complex dynamical systems from measured
data or time series is central to many scientific disciplines including physical, biological …

Before we apply nonlinear techniques, eg those inspired by chaos theory, to dynamical
phenomena occurring in nature, it is necessary to first ask if the use of such advanced …

This text provides an introduction to the exciting new developments in chaos and related
topics in nonlinear dynamics, including the detection and quantification of chaos in …

We describe the implementation of methods of nonlinear time series analysis which are
based on the paradigm of deterministic chaos. A variety of algorithms for data …

Many complex and interesting phenomena in nature are due to nonlinear phenomena. The
theory of nonlinear dynamical systems, also called 'chaos theory', has now progressed to a …

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 …

Time-delayed feedback control is well known as a practical method for stabilizing unstable
periodic orbits embedded in chaotic attractors. The method is based on applying feedback …

A" brain defibrillator" may be closer than we think. An epileptic seizure involves a
paroxysmal change in the activity of millions of neurons. Feedback control of seizures would …

We propose a reliable method for constructing a directed weighted complex network
(DWCN) from a time series. Through investigating the DWCN for various time series, we find …

A method to detect the unstable periodic orbits of a chaotic dynamical system is developed.
For a given dynamical system our approach allows us to locate the unstable periodic cycles …