In recent years, we have witnessed a significant shift toward ever-more complex and ever-
larger-scale systems in the majority of the grand societal challenges tackled in applied …

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 …

We examine the issue of determining an acceptable minimum embedding dimension by
looking at the behavior of near neighbors under changes in the embedding dimension from …

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 …

Over the past two decades scientists, mathematicians, and engineers have come to
understand that a large variety of systems exhibit complicated evolution with time. This …

Mathematical formulations of the embedding methods commonly used for the reconstruction
of attractors from data series are discussed. Embedding theorems, based on previous work …

An approach is presented for making short-term predictions about the trajectories of chaotic
dynamical systems. The method is applied to data on measles, chickenpox, and marine …

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 …

The previous edition of this text was the first to provide a quantitative introduction to chaos
and nonlinear dynamics at the undergraduate level. It was widely praised for the clarity of …

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 …