| EPSRC Reference: |
GR/A01534/01 |
| Title: |
AF: SPATIOTEMPORAL SYMMETRY IN HAMILTONIAN DYNAMICAL SYSTEMS |
| Principal Investigator: |
Lamb, Professor JS |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
Imperial College London |
| Scheme: |
Advanced Fellowship (Pre-FEC) |
| Starts: |
31 March 2001 |
Ends: |
30 March 2006 |
Value (£): |
230,393
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| EPSRC Research Topic Classifications: |
| Non-linear Systems Mathematics |
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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In order to understand the cosequences of symmetry in mechanical systems, we will study Hamiltonian dynamical systems with spatiotemporal symmetry. There exists a strong tradition in studying the consequences of continuous symmetries in Hamiltonian systems, but the proposed research will be complimentary to the geometric approach developed in that context. We will focus in particular on discrete symmetries, including time-reversal symmetries. This is important, because in most applications of interest discrete symmetries arise. The research will build on the success of the corresponding theory developed for dissipative systems with symmetries, which has contributed significantly to the understanding of complex phenomena such as pattern formation and spontaneous symmetry breaking in fluids and coupled cell systems. The research in this proposal will explain qualitative changes in dynamics when external parameters are varied (bifurcation theory) and shed light on how symmetry influences the occurrence of complicated dynamical behaviour (chaos). Among the many possible applications, the theory will be used to study the dynamics of molecules (with relavance to spectroscopy) and simple mechanical systems (with complicated dynamics) such as coupled pendula.
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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.imperial.ac.uk |