Research projects

Project CEMAPRE internal

TitleEmergence of chaos and study of singularities
ParticipantsAlexandre Rodrigues (Principal Investigator)
Summary1) Analysis of the (chaotic) dynamical behavior of a heteroclinic cycle unfolding from a Hopf-Hopf
singularity (joint work with Santiago Ibanez, University of Oviedo, Spain);

2) Study of the effect of non-autonomous and non-periodic perturbations on organizing centers with
heteroclinic attractor cycles (joint work with Alexander Lohse, University of Hamburg, Germany);

3) Analysis of the FitzHugh-Nagumo equation in the context of nerve impulses – proof of the
existence of strange attractors (joint work with Bruno Filipe Gonçalves and Isabel Labouriau, both
from the University of Porto);

4) Preparation of a tutorial text for students in Mathematical Economics (joint work with José
Pedro Gaivão and Telmo Peixe).