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Shadowing, Omega Limit Sets and Internal Chain Transitivity in Dynamical Systems

Objective

This project aims to bring Dr Jonathan Meddaugh, one of the most promising young dynamicists of his generation, to the University of Birmingham to work with Dr Chris Good on a project that aims to capitalize on recent exciting developments in the theory of dynamical systems. Key to the analysis of dynamical systems are the asymptotic behaviour captured by limit sets and an understanding how computed (approximate) orbits correspond to true orbits, i.e. how pseudo-orbits are shadowed by real orbits. In recent work, Meddaugh has shown that shadowing is closely linked to characterizations of limit sets in terms of internally chain transitivity developed by Good and his collaborators. This project will develop the general theory behind these links and, using innovative applications of non-Hausdorff topologies and symbolic dynamics, make significant contributions to our understanding of shadowing and limit sets in a number of important families of dynamical system, such as shift spaces and polynomial maps on their Julia sets. During the project Meddaugh will develop the professional skills that will place him in an ideal position to secure a leading academic position.

Fields of science (EuroSciVoc)

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Programme(s)

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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.

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.

MSCA-IF-EF-ST - Standard EF

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Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

(opens in new window) H2020-MSCA-IF-2014

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Coordinator

THE UNIVERSITY OF BIRMINGHAM
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 183 454,80
Address
Edgbaston
B15 2TT Birmingham
United Kingdom

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Region
West Midlands (England) West Midlands Birmingham
Activity type
Higher or Secondary Education Establishments
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Total cost

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.

€ 183 454,80
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