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 …

Topological methods have recently been developed for the analysis of dissipative dynamical
systems that operate in the chaotic regime. They were originally developed for three …

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 …

We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …

" The Edge of Organization offers a readable, comprehensive, and integrated overview of
the new sciences of chaos and complexity. Author Russ Marion describes formal and social …

We have developed a topological procedure for analyzing chaotic time series which
identifies the stretching and squeezing mechanisms responsible for chaotic behavior in low …

Experimental Control of Chaos for Communication Page 1 VOLUME 73, NUMBER 13
PHYSICAL REVIEW LETTERS 26 SEPTEMBER 1994 Experimental Control of Chaos for …

Time series forecasting has historically been a key research problem in science and
engineering. In recent years, machine learning algorithms have proven to be a very …

A multivariate polynomial L 2 approximation on nets is designed for global vector-field
reconstructions of time continuous dynamical systems. The technique is tested by …

The closed orbits of three-dimensional flows form knots and links. This book develops the
tools-template theory and symbolic dynamics-needed for studying knotted orbits. This theory …