Objective
The research project deals with the study of the dynamic behaviors occurring in noninvertible discrete dynamical systems (or maps) of the plane and of the space, and bifurcations, both in the phase space and in the parameter space. This research argument is of wide interest nowadays. Indeed, a generic model describing, or simulating, in discrete time a real behavior in some applied context is represented by a noninvertible map, often in two or three state variables of interest (or macro-variables), whose d ynamic behavior is under study in order to predict or control his time evolution. Relevant examples can be found in physics, economics, social sciences and mainly in engineering. The theory of Nonlinear Dynamical Systems is well advanced, since its beginn ing, in the case of smooth maps with a unique inverse (that is, diffeomorphisms). But the models interesting in the applications are mainly noninvertible, and this class of maps has been less studied in the academic world. The pioneering works on this rese arch subject date back to 1970-80 by I. Gumowski and C. Mira, and followed by L. Gardini and her research group in Italy. However, the studies performed up to now are mainly associated with smooth noninvertible maps. But in several applied fields, often fo r simplifying purposes, the nonlinear equations underlying some specific dynamic behavior are piecewise linear. Our object is to investigate the dynamic behavior occurring in such kind of models, noninvertible and piecewise linear, both in the plane and i n the space. This project is performed in order to put together the specific competence existing in the University of Urbino (L. Gardini and her research working noninvertible maps) and the competence in the specific context of piecewise linear maps exist ing in the research group at the Institute of Mathematics of the National Academy of Sciences of Ukraine in Kiev (Dr. I. Sushko).
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.
- social sciences economics and business economics
- natural sciences mathematics applied mathematics dynamical systems
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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.
FP6-2002-MOBILITY-7
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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.
IIF - Marie Curie actions-Incoming International Fellowships
Coordinator
URBINO
Italy
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.