Objective
The proposed research project focuses on a generalization of Cellular Automata (CA) describable using both ODE and random differential equations (RDE). They are models capable of quantitative forecast as well as the same modelling flexibility of classical CA.
The use of a continuum state space permits to use new ideas about model’s calibration and validation e.g. defining a meaningful distance on the configuration space and using optimization techniques. We shall call them Interaction Based Dynamical Systems (IBDS), because they seems useful to model complex systems formed by agents locally interacting.
Objectives of the project are:
- Mathematical definition of IBDS generalizing the work done by the reintegration research group about continuum state CA modelling of urban growth
- Construction of the probability space associated to an IBDS. This is the mathematical framework where to prove the following objectives
- Study of the related differential equations. Every IBDS can be described using both an ODE, in case of infinitesimal standard deviation, and an infinite system of RDE (one for each moment of the state variables)
- Numerical solution of this system of RDE5.
- Construction of a traffic model using IBDS6.
- Numerical study of bifurcations using ODE and RDE7.
- Analysis of the possibility to generalize the MCF work of the proposal’s researcher to extend the real field adding random infinitesimal fluctuations.
- Use of this extension to study IBDS.
These objectives will be achieved using standard probability theory methods, the infinitesimals of researcher’s MCF, programming in Matlab and interdisciplinary work at the host institute.
The possibility to introduce a new and flexible type of modelling tool for the study of complex systems is of great importance both for EU and for the possibility of the researcher to obtain further future fundings for research projects, an important task of the ERG. The research project will last 4 years.
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 computer and information sciences software
- natural sciences mathematics pure mathematics mathematical analysis differential equations
- natural sciences mathematics applied mathematics dynamical systems
- natural sciences mathematics applied mathematics statistics and probability
- natural sciences mathematics applied mathematics mathematical model
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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-11
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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.
Coordinator
LUGANO
Switzerland
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.