Objective
The project concerns one of fundamental problems in theory of dynamical systems, namely non-integrability criterion. The main aim is an exhaustive analysis of the most effective method of proving of non-integrability, namely Morales-Ramis theory, and its development indirections important for integrability theory. At first, we plan to apply this method to various dynamical Hamiltonian system in order to point out difficulties of practical and theoretical nature which appear during its applications. Then we will work out algorithms that allow carrying effectively all steps of Morales-Ramis approach. Next we plan development this method in various directions: adaptation to non - Hamiltionian systems of various kinds, sharpening non - integrability theorems by application of non-homogeneous normal variation alequations, formulation results about partial integrability and super-integrability, working out effective methods of proving real non-in-tegrability by means using appropriate families of particular solutions. As by-product integrability of many systems will be investigated Applicant will obtain a possibility of working under one of the most effective techniques of proving of non-integrability formulated in language of differential Galois theory with a leading specialist in this field. Obtained results and experience will by used in future scientific activity and in preparation of habilitation thesis of applicant Host institution obtain a possibility acquainting with methods and techniques applied in integrability theory by physicists and astronomers, with many interesting examples and results formulated by them. Since Morales. Ramis theory connects integrability with properties of differential Galois groups, this project will stimulate further studies in this branch of mathematics and yield new interpretations.
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.
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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.
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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
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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
06902 SOPHIA ANTIPOLIS
France
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.