Rui Castanheira de Paiva's Annual Report
Year:
Brief description of the research activities:
"Hopf bifurcation in symmetric and interior-symmetric networks" Details at: http://bit.ly/projetoruicpaiva
Projects description:
"Hopf bifurcation in symmetric and interior-symmetric networks" Details at: http://bit.ly/projetoruicpaiva
The aim of this project is to study the stability of solutions given by Hopf bifurcation in coupled cell systems with interior symmetries and the solutions given by degenerate codimension-one Hopf Bifurcation in symmetric coupled cell systems.
We aim to study:
- the linear stability of the periodic solutions provided by the Interior Symmetry-Breaking Hopf Theorem;
- the existence of branches of periodic solutions in one-parameter coupled cell systems associated with abelian symmetric connected coupled cell networks.
External projects:
Scientific coordinator of the project MITO - "Interactive Modules of Online Training" at Instituto Politécnico de Leiria since 2010. This project combines a set of tools that we thought to be among the most developed and promising for teaching mathematics. Our main goal is to complement the face-to-face classes and the traditional teaching content through interactive and multimedia online content. The theoretical content is supported by multimedia and interactive books that include videos and Java applets, and the practical content consists of online quizzes associated with a computer algebra system with a high level of interactivity. Details at: http://bit.ly/pmito
Design, development, implementation and evaluation of math educational content. This work resulted from an order of an Angolan higher education institution.
Preprints:
Papers accepted for publication in peer reviewed journals:
Talks / Seminars / Courses :
Computational applications:
Design, development, implementation and evaluation of instructional materials involving Moodle, STACK (http://www.stack.bham.ac.uk/), GeoGebra (www.geogebra.org), and tutorial videos with useful modifications on the open source code.