ShadOmIC
Shadowing, Omega Limit Sets and Internal Chain Transitivity in Dynamical Systems
Total Cost €
0EC-Contrib. €
0Partnership
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0ShadOmIC project word cloud
Explore the words cloud of the ShadOmIC project. It provides you a very rough idea of what is the project "ShadOmIC" about.
Project "ShadOmIC" data sheet
The following table provides information about the project.
| Coordinator |
THE UNIVERSITY OF BIRMINGHAM
Organization address contact info |
| Coordinator Country | United Kingdom [UK] |
| Project website | http://web.mat.bham.ac.uk/C.Good/shadomic |
| Total cost | 183˙454 € |
| EC max contribution | 183˙454 € (100%) |
| Programme |
1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility) |
| Code Call | H2020-MSCA-IF-2014 |
| Funding Scheme | MSCA-IF-EF-ST |
| Starting year | 2015 |
| Duration (year-month-day) | from 2015-08-30 to 2017-08-29 |
Partnership
Take a look of project's partnership.
| # | ||||
|---|---|---|---|---|
| 1 | THE UNIVERSITY OF BIRMINGHAM | UK (BIRMINGHAM) | coordinator | 183˙454.00 |
Map
Project 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.
Publications
| year | authors and title | journal | last update |
|---|---|---|---|
| 2018 |
Chris Good, Sergio Macias What is topological about topological dynamics? published pages: , ISSN: 1078-0947, DOI: |
Discrete and Continuous Dynamical Systems, Series A | 2019-06-17 |
| 2016 |
CHRIS GOOD, JONATHAN MEDDAUGH Orbital shadowing, internal chain transitivity and -limit sets published pages: 1-12, ISSN: 0143-3857, DOI: 10.1017/etds.2016.30 |
Ergodic Theory and Dynamical Systems | 2019-06-17 |
| 2018 |
Will Brian, Jonathan Meddaugh, and Brian Raines Shadowing is Generic on Dendrites published pages: , ISSN: 1937-1632, DOI: |
Discrete and Continuous Dynamical Systems | 2019-06-17 |
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