Objetivo 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. Ámbito científico natural sciencesmathematicspure mathematicstopologynatural sciencesmathematicsapplied mathematicsdynamical systemsnatural sciencesphysical sciencesastronomyplanetary sciencesplanets Programa(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Tema(s) MSCA-IF-2014-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF) Convocatoria de propuestas H2020-MSCA-IF-2014 Consulte otros proyectos de esta convocatoria Régimen de financiación MSCA-IF-EF-ST - Standard EF Coordinador THE UNIVERSITY OF BIRMINGHAM Aportación neta de la UEn € 183 454,80 Dirección Edgbaston B15 2TT Birmingham Reino Unido Ver en el mapa Región West Midlands (England) West Midlands Birmingham Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 183 454,80