Details of Grant 

EPSRC Reference:	GR/S45928/01
Title:	Visiting Fellowship for Professor Mary Silber: Mode interactions and instabilities of patterns
Principal Investigator:	Rucklidge, Professor A
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department:	Applied Mathematics
Organisation:	University of Leeds
Scheme:	Standard Research (Pre-FEC)
Starts:	02 March 2003	Ends:	01 March 2006	Value (£):	4,056
EPSRC Research Topic Classifications:	Non-linear Systems Mathematics
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
Related Grants:
Panel History:
Summary on Grant Application Form
Faraday wave experiments have repeatedly revealed new patterns of behaviour that have gone beyond the existing range of theoretical understanding and required the development of new ideas for their explanation. Recent examples include quasipattems, hidden symmetries and spatial period multiplying bifurcations. The proposed research will focus on the last of these three, and will proceed along two lines of investigation. In the first project, the aim will be to develop a systematic classification of the kinds of transition that might be seen in spatial period multiplying bifurcations, building on the case-by-case approach of earlier collaborations between Dr Rucklidge and Prof Silber. This will include an investigation into the influence of spatiotemporal symmetries on the nature of these secondary bifurcations. This theory will be of particular value to experimentalists and those working with numerical simulations, in that it will provide a unified framework in which to describe transitions that are observed. The second project will aim to build an understanding of the connection between the physics behind the pattern formation (two-frequency forcing) and the particular group action on the unstable modes. The outcome of this will be the ability to predict for which parameter values spatial period multiplying bifurcations should be found, and which oarticular Deriod multiolications will be seen.
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Organisation Website:	http://www.leeds.ac.uk