Strategic Project - UI 297 - 2011-2012

Funder

Organizational Unit

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.

2015Journal article

Open access

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.

2013-07Journal article

Open access