| EPSRC Reference: |
GR/R63530/01 |
| Title: |
The dynamics of heteroclinic networks |
| Principal Investigator: |
Ashwin, Professor P |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Mathematical Sciences |
| Organisation: |
University of Exeter |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 November 2001 |
Ends: |
30 November 2002 |
Value (£): |
3,343
|
| EPSRC Research Topic Classifications: |
| Non-linear Systems Mathematics |
|
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
This proposal is for a visiting fellowship for Prof M Field (Department of Mathematics, University of Houston) to visit work with the PI, Dr P Ashwin at the University of Exeter. Prof Field is an internationally recognised expert in dynamics with symmetry and his visit should allow progress on a number of projects of mutual interest, in particular the dynamics of heteroclinic networks.In dynamical systems with no symmetry, it is conjectured that typical systems have a finite number of attractors, and all of these are ergodic in that asymptotic averages of observations converge and depend only on the attractor chosen. It has been recognised for some time now that this picture is not true in the presence of symmetries; there can be attractors that are not ergodic. We aim to elucidate the structure of a class of such attractors (heteroclinic networks) by a mathematical study of model examples and generic theory. These attractors have been seen in a range of applications and are responsible for certain forms of complex spatio-temporal intermittent behaviour seen in models and numerical simulations.
|
|
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.ex.ac.uk |