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

Recurrence is a fundamental property of dynamical systems, which can be exploited to
characterise the system's behaviour in phase space. A powerful tool for their visualisation …

We introduce complexity parameters for time series based on comparison of neighboring
values. The definition directly applies to arbitrary real-world data. For some well-known …

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 …

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

Nonlinear time series methods have developed rapidly over a quarter of a century and have
reached an advanced state of maturity during the last decade. Implementations of these …

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 only integrative approach to chaos and random fractal theory Chaos and random fractal
theory are two of the most important theories developed for data analysis. Until now, there …

Plastic deformation is a highly dissipative process that induces a variety of patterns such as
the cell structure in multislip conditions, the matrix structure and the persistent slip bands in …