Objective 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. Fields of science natural sciencesmathematicspure mathematicsmathematical analysisdifferential equationsnatural sciencesmathematicsapplied mathematicsdynamical systems Keywords Attractors Bifurcations Chaos theory Differential equations Dynamical systems theory Limit cycles Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) FP7-PEOPLE-IEF-2008 - Marie Curie Action: "Intra-European Fellowships for Career Development" Call for proposal FP7-PEOPLE-IEF-2008 See other projects for this call Funding Scheme MC-IEF - Intra-European Fellowships (IEF) Coordinator IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE EU contribution € 231 036,29 Address SOUTH KENSINGTON CAMPUS EXHIBITION ROAD SW7 2AZ LONDON United Kingdom See on map Region London Inner London — West Westminster Activity type Higher or Secondary Education Establishments Administrative Contact Brooke Alasya (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data
