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Details of Grant 

EPSRC Reference: GR/J97182/01
Title: A STUDY OF SPATIO-TEMPORAL DYNAMICS IN OPEN FLOWS
Principal Investigator: Mullin, Professor T
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Oxford Physics
Organisation: University of Oxford
Scheme: Standard Research (Pre-FEC)
Starts: 01 October 1994 Ends: 30 September 1996 Value (£): 105,521
EPSRC Research Topic Classifications:
Continuum Mechanics
EPSRC Industrial Sector Classifications:
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Summary on Grant Application Form
The project is concerned with the application of ideas from nonlinear dynamical systems theory to an open flow problem. The research will exploit the interplay between experiment and theory to gain new insights into the coupling processes present in a spatially evolving flow field and to develop techniques for dealing with spatio-temporal data.The specific experiment has been chosen because it is known to exhibit a range of structured low-dimensional dynamics. We already have a good quality flow rig and measuring apparatus which, with some modification, will suit our purposes. The theoretical foundations have similarly already been laid: exist and the new theory proposed here is currently being developed in Malvern.We wish to address the following fundamental question, implicit in the practical application of time delay embedding methods: what are the limitations on the assumption that single point measurements are representative of extended dynamical systems? The ultimate goals of the project are to extend systematically the ideas of low-dimensional dynamical systems to open flows and to develop useful cross-correlation methods for nonlinear problems.
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Organisation Website: http://www.ox.ac.uk