Objetivo 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. Ámbito científico natural sciencesmathematicsapplied mathematicsdynamical systemsnatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equations Programa(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) Tema(s) FP7-PEOPLE-2009-RG - Marie Curie Action: "Reintegration Grants" Convocatoria de propuestas FP7-PEOPLE-2010-RG Consulte otros proyectos de esta convocatoria Régimen de financiación MC-IRG - International Re-integration Grants (IRG) Coordinador TECHNISCHE UNIVERSITAET WIEN Aportación de la UE € 75 000,00 Dirección KARLSPLATZ 13 1040 Wien Austria Ver en el mapa Región Ostösterreich Wien Wien Tipo de actividad Higher or Secondary Education Establishments Contacto administrativo Peter Szmolyan (Prof.) Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Coste total Sin datos
