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Ergodic theory, dynamical systems and certain qualitative properties of ordinary differential equations

Objective



The project is aimed at wide research of qualitative properties of ordinary differential equations (basically those properties that determine nonlocal or/and nonlinear effects); in the scope of this study there are also related objects, such as foliations, cascades (iterations of mappings) and more general groups of transformations considered here from the viewpoint of the theory of dynamical systems and ergodic theory. The present state of knowledge in this field has been formed in the result of sunthesis of ideas and related notions and methods that originated in the theory of ordinary differential equations, geometry, functional analysis, probability theory and mathematical physics. Directions of research within the proposed project include: the study of differential equations in the complex domain (nonlinear local problems and Pfaffian systems); the study of dynamical systems and related geometrical objects in the case of low-dimensional phase spaces; properties of the systems of the variational nature; dynamical approach to the theory of Kleinian groups; probabilistic and combinatorial questions in the theory of dynamical systems and transformation groups, related to the operator algebras; noncommutative entropy theory. 8 scietific collectived are included in the project team for carrying out the corresponding tasks. The results planned for 1996 and those expected in 1997 will be completed in the form of the scientific papers to be submitted to the leading mathematical journals according to recommendations of CO and PI.

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Programme(s)

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Topic(s)

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Call for proposal

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Funding Scheme

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Coordinator

UNIVERSITY OF MANCHESTER
EU contribution
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Address
Oxford Road
M13 9PL MANCHESTER
United Kingdom

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Total cost

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Participants (1)

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