| EPSRC Reference: |
GR/S63380/01 |
| Title: |
NETWORK DYNAMICS |
| Principal Investigator: |
Stewart, Professor IN |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of Warwick |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 March 2004 |
Ends: |
28 February 2007 |
Value (£): |
142,910
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| EPSRC Research Topic Classifications: |
| Biomedical neuroscience |
Complexity Science |
| Evolution & populations |
Non-linear Systems Mathematics |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Panel History: |
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Summary on Grant Application Form |
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The dynamics of networks is a major growth area of research. Recently, we have discovered a formal framework for studying pattern-formation in network dynamics, based on the concept of a symmetry groupoid. This algebraic structure describes the local isomorphisms between input sets of cells, and completely determines the admissible vector fields associated with the given network architecture. The groupoid appears to control the network's patterns of synchrony (steady, periodic, or chaotic), of phase-locking (in the periodic case), its quasiperiodic and chaotic dynamics, and the stabilities of steady and periodic states. We will develop a rigorous, formal theory of nonlinear dynamics based on the symmetry groupoid. The results will be applied to several areas of bioscience, especially neuroscience and evolutionary biology, in collaboration with three biological research groups: two in Boston and one in Helsinki. In particular we wilt analyse patterns of synchrony and travelling waves in the central pattern generators of the leech heart and insect gaits; study synchrony in networks of neurons in the brain; and develop network models of speciation and polymorphism in evolutionary biology, especially in virus populations.
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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.warwick.ac.uk |