Ziel
Dynamical systems theory contains important tools in investigating various theoretical and practical models generated by systems of differential equations. Such models may be found in a lot of areas, ranging from Mathematics, Engineering to Medicine and Psychiatry. In this project we address some unexplored themes in this field. We will study degenerate codimension-2 bifurcations in n-dimensional dynamical systems. Of these bifurcations we will focus on the fold-Hopf degenerate bifurcation, firstly in three dimensional nonlinear continuous dynamical systems and then we will generalize it for n-dimensional dynamical systems. In discrete dynamical systems, an analogous of the continuous fold-Hopf bifurcation will also be addressed. The existence and number of limit cycles in two-dimensional (polynomial, Hamiltonian, perturbed Hamiltonian) continuous and discontinuous differential systems is another objective of this project. Using Melnikov functions of any order we will give new insights on the existence and number of limit cycles in these systems. Finally, we are interested in investigating some practical models.
Wissenschaftliches Gebiet
Schlüsselbegriffe
Thema/Themen
Aufforderung zur Vorschlagseinreichung
FP7-PEOPLE-IEF-2008
Andere Projekte für diesen Aufruf anzeigen
Finanzierungsplan
MC-IEF - Intra-European Fellowships (IEF)Koordinator
SW7 2AZ LONDON
Vereinigtes Königreich