The availability of time series of the evolution of the properties of physical systems is
increasing, stimulating the development of many novel methods for the extraction of …

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 …

Detecting the presence of chaos in a dynamical system is an important problem that is
solved by measuring the largest Lyapunov exponent. Lyapunov exponents quantify the …

We compare dynamical properties of brain electrical activity from different recording regions
and from different physiological and pathological brain states. Using the nonlinear prediction …

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 review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …

Epileptic seizures are manifestations of epilepsy, a serious brain dynamical disorder second
only to strokes. Of the world's/spl sim/50 million people with epilepsy, fully 1/3 have seizures …

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 …

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 …

During quiet standing, the human body continually moves about in an erratic, and possibly
chaotic, fashion. Here we show that postural sway is indistinguishable from correlated noise …