Objective
The subject of SPADE2 is interdisciplinary: methods of dynamical systems, 1,2, finite and infinite dimensional and study of long time behaviour for some PDE's, as Navier-Stokes Eq., and fractal nature of arising attractors. Applications include fractals (data compression, signal transmission), flows in blood vessels, population dynamics. More specifically, areas and methods include:-1D-dynamics, real and complex, Iterated
Function systems (IFS) as a kernel of higher dimension phenomena (hyperbolic, non-uniformly hyperbolic, dominated splitting), dimensions and measures on metric attractors and basins, Multifractal Spectra of Lyapunov exponents, entropy, dimensions.- Infinite-dimensional systems. 2D (Navier-Stokes Eq.), 3D thin domains attractors -Scaling limits in physical processes. Dimensions and scaling exponents for the 2D models like percolation, Ising model, self-avoiding random walk, etc. We expect advances in the models like diffusion limited aggregation (a generic model of fractal growth) or random matrices (of major importance in studying disordered media).- Evolution Stochastic Processes.
Evolution Stochastic ODE's and PDE's.-Methods of Function Spaces: Sobolev Spaces, functions of bounded variation, analysis of singularities of measures, singular integrals and harmonic analysis. Wavelet methods. The priorities in the project are the visits of top specialists from abroad giving series of lectures, seminars and schools with the participation of researchers and PhD students from IM PAN and other institutions.
The partners of IM PAN for outging visits are the universities: Warwick, Paris 6, SNS Pisa, Kiel, and INRIA Institute at Rocquencourt ("Projet Fractale"). The activities of ToK will be widely advertised through Web pages with abstracts of lectures and seminars, bulletins e-mailed to registered participants and PhD students.. Some ToK survey lectures and courses will be published in Banach Centre Publications.
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 physical sciences electromagnetism and electronics electromagnetism
- natural sciences mathematics applied mathematics dynamical systems
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
- natural sciences mathematics applied mathematics numerical analysis
- natural sciences computer and information sciences artificial intelligence computational intelligence
You need to log in or register to use this function
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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.
FP6-2002-MOBILITY-3
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
WARSAW
Poland
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.