| EPSRC Reference: |
GR/R52879/01 |
| Title: |
Dynamics near a Hopf bifurcation in spatially extended systems |
| Principal Investigator: |
Knobloch, Professor E |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Applied Mathematics |
| Organisation: |
University of Leeds |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 October 2001 |
Ends: |
30 September 2004 |
Value (£): |
127,181
|
| EPSRC Research Topic Classifications: |
| Non-linear Systems Mathematics |
Numerical Analysis |
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
The research covers a wide range of phenomena and will be of interest to theoreticians (applied mathematicians and physicists) and to experimentalists alike. Although we concentrate our research on phenomena that have been observed in experiments on binary fluid convection, this system serves as a paradigm for studying the evolution of doubly diffusive and other oscillatory instabilities. Our research will therefore be of significance in a variety of other contexts. In particular the idea that the presence of near-degenerate modes is responsible for bursting behaviour near onset could have wide applicability in the physical and engineering sciences. In addition the research will shed light on the interaction between nonlinear waves and boundaries in driven dissipative systems. Our systematic approach will therefore yield results applicable to many fields including mechanical engineering, reaction-diffusion systems in chemistry, shear flow instabilities, electroconvection and dynamo theory.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.leeds.ac.uk |