| EPSRC Reference: |
GR/S22714/01 |
| Title: |
Detection of chaos in nonlinear dynamical systems, and hypermeander of spirals in excitable media |
| 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: |
21 February 2003 |
Ends: |
20 February 2006 |
Value (£): |
5,433
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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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The usual test of whether a deterministic system is chaotic or nonchaotic is the calculation of the largest Lyapunov exponent. The system is chaotif if and only if this exponent is positive. Recently, Gottwald (VF) and Melbourne proposed a new 0- 1 test for determining whether a given system is chaotic. A major advantage over the Lyapunov exponent method is that our method is applied directly to the time series data and hence is insensitive to the dimension or the form of the underlying system. The main purpose of this project is to investigate more thoroughly this new test for chaos, and variants thereof. An important question is to study the effects of noise.The ideas of this new test grew out of our investigations into spiral wave dynamics in excitable media, where the spiral tip undergoes a Brownian -like motion in the plane, a phenomonon known as hypermeander. (The connection betwen these two topics is not obvious and is explained in the main part of the proposal.) In this project, we also plan to continue our investigation into hypermander of spirals.
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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.surrey.ac.uk |