High performance computing applied to nonlinear time series analysis

Résumé

Many applications of science and engineering, e.g. in physics, biology, economics or meteorology, are determined by dynamical systems. These systems evolve over time and then generate a set of data spaced in time, called time series. The analysis of time series from real systems in terms of nonlinear dynamics is the most direct link between chaos theory and the real world. Some very useful information for making predictions of dynamical systems can be extracted from the analysis of these time series. Since many of these applications must provide a real time response, it is necessary for analysis and prediction to be performed on a reasonable time scale. High Performance Computing gives a feasible solution to this problem, enabling it to be solved in an efficient manner. Nowadays, parallel computing is one of the most appropriate ways of obtaining important computational power. A set of high performance algorithms has been developed in this Thesis for both nonlinear time series analysis and, then, prediction.