Objective Singularly perturbed systems are ubiquitous in mathematics and its applications. These problems often appear due to a time scaleseparation i.e. when two processes evolve at substantially different rates. The goal of this project is to advance the theory of multiple timescale systems in the following directions.(1) Mixed-mode oscillations: These complicated oscillatory patterns appear in a wide range of models. In particular, high-dimensionalproblems are of interest.(2) Multiparameter problems: Bifurcation theory of mulitscale systems, particularly for two or more singular parameters, has to bedeveloped. A starting point are two-parameter bifurcation curves in the FitzHugh-Nagumo equation.(3) Geometric de-singularization: Extension and development of the so-called blow-up method are a major part of this project.(4) Extension of current methods: A further driving question will be how the theory for finite-dimensional systems extends to stochastic andpartial differential equations; even the understanding of simple examples is anticipated to very interesting. Fields of science natural sciencesmathematicsapplied mathematicsdynamical systemsnatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equations 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-2009-RG - Marie Curie Action: "Reintegration Grants" Call for proposal FP7-PEOPLE-2010-RG See other projects for this call Funding Scheme MC-IRG - International Re-integration Grants (IRG) Coordinator TECHNISCHE UNIVERSITAET WIEN EU contribution € 75 000,00 Address KARLSPLATZ 13 1040 Wien Austria See on map Region Ostösterreich Wien Wien Activity type Higher or Secondary Education Establishments Administrative Contact Peter Szmolyan (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data
