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 …

Time series forecasting has been a widely explored task of great importance in many
applications. However, it is common that real-world time series data are recorded in a short …

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 …

According to classical concepts of physiologic control, healthy systems are self-regulated to
reduce variability and maintain physiologic constancy. Contrary to the predictions of …

Recognition of facial expressions is critical to our appreciation of the social and physical
environment, with separate emotions having distinct facial expressions. Perception of fearful …

We describe a new test for determining whether a given deterministic dynamical system is
chaotic or non–chaotic. In contrast to the usual method of computing the maximal Lyapunov …

Increasingly, environmental scientists, palaeoceanographers and geologists are collecting
quantitative records of environmental changes (time series) from sediments, ice cores, cave …

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 …

Biological nitrification (that is, NH3→ NO2−→ NO3−) is a key reaction in the global nitrogen
cycle (N-cycle); however, it is also known anecdotally to be unpredictable and sometimes …