About me

I work with Nonlinear Dynamical Systems, a branch of mathematics that deals with time-dependent phenomena. The focus of my research is directed not only to the construction of quantitative models for complex phenomena, the central objective goes towards understanding the inherent nonlinearities, obtaining qualitative insights about the systems' dynamic behavior, and then developing strategies for design, optimization, and control of the applications. More recently I became interested in Data Science and the use of statistical/machine learning techniques to extract and understand complex patterns from databases. This research has a broad range of applications: energy harvesting, origami engineering, epidemic outbreaks, structural health monitoring, medical implants, drilling systems, reactive flows, etc.

In my research group, we have large expertise in the use of state-of-the-art numerical, analytical, and data-driven techniques for deterministic and probabilistic, direct and inverse analysis of nonlinear systems, as well as for data analytics. Our collaboration network spans Brazil, the USA, England, France, Italy, Peru, Poland, Portugal, Saudi Arabia, and Scotland.

My interest in theoretical mechanics may stem from my academic lineage, which includes some notable mathematicians such as Euler, Lagrange, Gauss, and Hilbert, as can be seen here and on my Math Genealogy page. You can find a more detailed genealogy here. A map with a compendium of my academic missions is available here.

Currently, my Erdös number is 4, and my Einstein number is 6.