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.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics applied mathematics dynamical systems
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2010-RG
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
1040 Wien
Austria
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.