| EPSRC Reference: |
GR/R89776/01 |
| Title: |
Time-Frequency Analysis of the Dynamics of Molecules |
| Principal Investigator: |
Wiggins, Professor S |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of Bristol |
| Scheme: |
Fast Stream |
| Starts: |
01 October 2002 |
Ends: |
31 March 2006 |
Value (£): |
61,727
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| EPSRC Research Topic Classifications: |
| Chemical Structure |
Non-linear Systems Mathematics |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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We will develop a methodology, based on both theory and computation, for understanding the role of resonances in strongly nonlinear, far from integrable, high dimensional dynamical systems. We will develop, and apply, the methods to a study of the intramolecular vibrational dynamics of the rotationless carbonyl sulfide (OCS) molecule. It is a system that has a complicated potential energy surface that does not lend itself to simplification, and it has 3 degrees-of-freedom which means that conventional thinking about tori as barriers in phase space does not apply. It is also an important molecule in a number of different settings, the environment being one such setting. It is one of the 2 most important sulphur-containing compounds that produce the formation of stratospheric particles, which are the main source of cloud condensation nuclei in the troposphere remote from land. Our methodology will rely heavily on the rapid developments in time-frequency analysis for data over the past 10 years. Wavelet analysis is a natural alternative for performing frequency analysis oftrajectories that possess time varying frequencies.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.bris.ac.uk |