| EPSRC Reference: |
EP/C000595/1 |
| Title: |
Asymptotics beyond all orders and Stokes phenomenon in bifurcation problems |
| Principal Investigator: |
Gelfreykh, Professor V |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematics |
| Organisation: |
University of Warwick |
| Scheme: |
First Grant Scheme Pre-FEC |
| Starts: |
01 April 2005 |
Ends: |
31 March 2008 |
Value (£): |
125,477
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| EPSRC Research Topic Classifications: |
| Mathematical Analysis |
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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Bifurcation theory studies qualitative changes in behavior of Dynamical Systems. It's aim is to detect and classify different types of these changes, which are often called bifurcations. There is a remarkable similarity between bifurcations of an equilibrium on a plane and bifurcations of periodic orbits in the three dimensional space. The difference between these bifurcations is difficult to detect, and it is due to very small zones of homoclinic chaos. In applications these zones may be responsible for existence or non-existence of solutions for equations of mathematical physics, which may describe, for example, some types of waves on water surface. The aim of the project is to understand creation of homoclinic zones, which appear near bifurcations in two-parametric analytic families of maps. The project will be carried out by the investigator and a postdoctoral research assistant at the Mathematics Institute, University of Warwick. The work on the project includes development of new asymptotic methods and conducting numerical experiments to validate results on carefully chosen test problems.
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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.warwick.ac.uk |