SINGPERTDYNSYS
Singularly Perturbed Dynamical Systems
| Coordinatore | TECHNISCHE UNIVERSITAET WIEN
Organization address
address: Karlsplatz 13 contact info |
| Nazionalità Coordinatore | Austria [AT] |
| Totale costo | 75˙000 € |
| EC contributo | 75˙000 € |
| Programma | FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | FP7-PEOPLE-2010-RG |
| Funding Scheme | MC-IRG |
| Anno di inizio | 2011 |
| Periodo (anno-mese-giorno) | 2011-10-25 - 2015-09-01 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
TECHNISCHE UNIVERSITAET WIEN
Organization address
address: Karlsplatz 13 contact info |
AT (WIEN) | coordinator | 75˙000.00 |
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Obiettivo del progetto (Objective)
'Singularly perturbed systems are ubiquitous in mathematics and its applications. These problems often appear due to a time scale separation i.e. when two processes evolve at substantially different rates. The goal of this project is to advance the theory of multiple time scale systems in the following directions. (1) Mixed-mode oscillations: These complicated oscillatory patterns appear in a wide range of models. In particular, high-dimensional problems are of interest. (2) Multiparameter problems: Bifurcation theory of mulitscale systems, particularly for two or more singular parameters, has to be developed. 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 and partial differential equations; even the understanding of simple examples is anticipated to very interesting.'