Chaotic time series data are observed routinely in experiments on physical systems and in
observations in the field. The authors review developments in the extraction of information of …

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 …

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 …

Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability
Analysis was published. During that time period the? eld of computational bifurcation has …

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 …

When I encountered the idea of chaotic behavior in deterministic dynami cal systems, it gave
me both great pause and great relief. The origin of the great relief was work I had done …

A very simple method to compute the maximal Lyapunov exponent of a time series is
introduced. The algorithm makes use of the statistical properties of the local divergence …

Fractals and Chaos: An Illustrated Course provides you with a practical, elementary
introduction to fractal geometry and chaotic dynamics-subjects that have attracted immense …

The time delay reconstruction of the state space of a system from observed scalar data
requires a time lag and an integer embedding dimension. The minimum necessary global …

We compare two theoretically distinct approaches to generate artificial (or “surrogate”) data
for testing hypotheses about a given data set. The first and more straightforward approach is …