| EPSRC Reference: |
GR/M81908/01 |
| Title: |
ANALYTICAL AND NUMERICAL INVESTIGATION OF SLIDING ORBITS AND THEIR BIFURCATION IN PWL DYNAMICAL SYSTEMS |
| Principal Investigator: |
Di Bernardo, Professor M |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Engineering Mathematics and Technology |
| Organisation: |
University of Bristol |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
14 January 2000 |
Ends: |
13 January 2003 |
Value (£): |
44,422
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| EPSRC Research Topic Classifications: |
| Non-linear Systems Mathematics |
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| EPSRC Industrial Sector Classifications: |
| Manufacturing |
Electronics |
| 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 proposed research is in the field of the analysis and bifurcations of piecewise linear (PWL) dynamical systems. These systems can be described by set of PWL ordinary differential equations and are widely used in Engineering to model a large varied of physical systems. We plan to study the occurrence in this class of systems of periodic solutions characterised by sliding sections, i.e. trajectories partially lying within the system discontinuity set. Specifically, we shall focus our attention on the bifurcations leading to the formation of these orbits and study the further transitions from these solutions to more complex dynamical behaviour such as deterministic chaos. As mentioned in the 'Objectives' we wish to apply our analytical results to physical models of relevance in applications such as relay feedback control systems and DC/DC power converters. We propose to work in strict collaboration with experimentalists and engineers interested in applications in the UK and abroad throughout the duration of the project.
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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.bris.ac.uk |