| EPSRC Reference: |
GR/M22499/01 |
| Title: |
DRIFT BIFURCATIONS FOR NONCOMPACT SYMMETRIES |
| Principal Investigator: |
Ashwin, Professor P |
| Other Investigators: |
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| Department: |
Sch of Electronics & Physical Sciences |
| Organisation: |
University of Surrey |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
07 August 1998 |
Ends: |
06 September 1998 |
Value (£): |
1,280
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| EPSRC Research Topic Classifications: |
| 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 wish to look at aspects of the asymptotic behaviour of trajectories of dynamical systems with noncompact groups of symmetries. These systems are of great interest when looking at nonlinear PDEs on infinite domains, especially for problems in pattern formation. They are also of interest as examples of systems where noncompactness plays a decisive role in the dynamics. We will focus on generic drifting behaviour of relative equilibria and how this can change on changing a parameter; this question (for flows) involves examining parametrised families of elements in the Lie algebra of the group and unfoldings of exceptional points in the algebra.We also wish to look at drifting behaviour for nontrivial dynamics in this setting, for example noncompact group extensions of hyperbolic, periodic or quasiperiodic dynamics, and try to understand the implications for reaction diffusion problems on infinite domains with euclidean symmetries. In particular, we hope to be able to explain drifting properties of unstable spiral waves in this way.
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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.surrey.ac.uk |