| EPSRC Reference: |
GR/M11349/01 |
| Title: |
HAMILTONIAN DYNAMICS, VARIATIONAL CALCULUS AND SYMPLECTIC GEOMETRY |
| Principal Investigator: |
MacKay, Professor RS |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Applied Maths and Theoretical Physics |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
23 August 1998 |
Ends: |
22 September 1999 |
Value (£): |
40,714
|
| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Mathematical Analysis |
| Non-linear Systems Mathematics |
|
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
The project aims to investigate some consequences of links from the Calculus of variations and Symplectic Geometry to Hamiltonian Dynamics. For example, it was proved by Weierstrass that every orbit on an invariant torus of a certain type minimises the action. These tori are essential for confinement of particles in nuclear fusion reactors and other contexts. The project will use this variational property as a criterion for confinement, and develop a number of other related topics.
|
|
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.cam.ac.uk |