SINGPERTDYNSYS

Singularly Perturbed Dynamical Systems

Coordinatore	TECHNISCHE UNIVERSITAET WIEN    more  Organization address address: Karlsplatz 13 city: WIEN postcode: 1040 contact info Titolo: Prof. Nome: Peter Cognome: Szmolyan Email: send email Telefono: +431 5880110175 Fax: +431 5880110198
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

#	participant	country	role	EC contrib. [€]
1	TECHNISCHE UNIVERSITAET WIEN  Organization address address: Karlsplatz 13 city: WIEN postcode: 1040 contact info Titolo: Prof. Nome: Peter Cognome: Szmolyan Email: send email Telefono: +431 5880110175 Fax: +431 5880110198	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.'