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Research Project
Strategic Project - UI 297 - 2011-2012
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Publications
Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium
Publication . Martins, Rogério; Morais, Gonçalo
An abstract theory on general synchronization of a system of several oscillators coupled by a medium is given. By generalized synchronization we mean the existence of an invariant manifold that allows a reduction in dimension. The case of a concrete system modeling the dynamics of a chemical solution on two containers connected to a third container is studied from the basics to arbitrary perturbations. Conditions under which synchronization occurs are given. Our theoretical results are complemented with a numerical study.
Cobs and stair nesting – segregation and crossing
Publication . Fernandes, Célia; Ramos, Paulo; Mexia, João
Stair nesting leads to very light models since the number of their treatments is additive on the numbers of observations in which only the level of one factor various. These groups of observations will be the steps of the design. In stair nested designs we work with fewer observations when compared with balanced nested designs and the amount of information for the different factors is more evenly distributed. We now integrate these models into a special class of models with orthogonal block structure for which there are interesting properties.
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Funding agency
Fundação para a Ciência e a Tecnologia
Funding programme
6817 - DCRRNI ID
Funding Award Number
PEst-OE/MAT/UI0297/2011