| EPSRC Reference: |
GR/S11862/01 |
| Title: |
Statistical properties of dynamical systems with symmetry |
| Principal Investigator: |
Melbourne, Professor I |
| Other Investigators: |
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| Project Partners: |
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| Department: |
Sch of Electronics & Physical Sciences |
| Organisation: |
University of Surrey |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 May 2003 |
Ends: |
30 April 2006 |
Value (£): |
149,948
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Dynamical systems with Lie group symmetry arise in the study of natural phenomena.Equilibrium and periodic solutions for such systems have been widely studied, and recently there has been considerable progress on the ergodic and mixing properties of chaotic dynamical systems with symmetry. However, there has been little work on stronger statistical properties such as rapid decay of correlations, central limit theorems and invariance principles (almost sure approximation by Brownian motion) for such systems.Motivated by the phenomenon of Brownian-like' hypermeander' of spiral waves in excitable media, we have begun the study of statistical properties in symmetric dynamical systems. So far our results have been formulated mainly for hyperbolic (Axiom A) base dynamics. This project is largely concerned w the generalisation to nonuniformly hyperbolic diffeomorphisms and flows. Such generalisations are necessary for, and have immediate implications for, the analysis of chaotic dynamics of spiral waves and scrolls.
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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 |
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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 |