Cel 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. Dziedzina nauki natural sciencesmathematicsapplied mathematicsdynamical systemsnatural sciencesmathematicspure mathematicsmathematical analysisdifferential equationspartial differential equations Program(-y) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Temat(-y) FP7-PEOPLE-2009-RG - Marie Curie Action: "Reintegration Grants" Zaproszenie do składania wniosków FP7-PEOPLE-2010-RG Zobacz inne projekty w ramach tego zaproszenia System finansowania MC-IRG - International Re-integration Grants (IRG) Koordynator TECHNISCHE UNIVERSITAET WIEN Wkład UE € 75 000,00 Adres KARLSPLATZ 13 1040 Wien Austria Zobacz na mapie Region Ostösterreich Wien Wien Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Peter Szmolyan (Prof.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych
