General Information

My research interests are related with Dynamical Systems and Computational Mathematics. I am a member of Centro de Matemática e Aplicações, at FCT/UNL, where I finished my PhD studies (Dynamics of Coupled Oscillators). The following are some of my works.

1. Dinâmica de Osciladores Acoplados, Thesis advisor: Rogério Martins, (2014)
2. Dimensão pontual e decomposições ergódicas, Thesis advisor: Luís Barreira, (2005)
3. Introdução à Álgebra Linear e Geometria Analítica, Spring 2004. Not reviewed or updated ever since.
4. Linear Algebra: Geometrical, Numerical and Analytical Aspects, in progress.
5. Computing Euler's Constant: A historical Overview of Algorithms and Results, in progress.

Computational Lab

One of my top research interests is to translate into computational algorithms the most powerful mathematical ideas. The following is a list of GNU software that I have created.

1. A package to draw conics in METAPOST: conics.tar.gz
2. Some C utilities for analytic geometry: lautils.tar.gz
3. Runge-Kutta algorithm in C, for pedagogical purposes: rungekutta.c
4. I have just started to write NUMDE, a general purpose library written in C/C++, to solve problems related with Differential Equations.

NUMDE :: Latest Images

Publications

1. Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium, with Rogério Martins, to appear in Kybernetika.