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O(2) equivariant mode interactions
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Hill, Andrew Stephen (1988) O(2) equivariant mode interactions. PhD thesis, University of Warwick.
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WRAP_Theses_Hill_1988.pdf - Submitted Version - Requires a PDF viewer. Download (5Mb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b3156701~S15
Abstract
This thesis uses and develops methods of equivariant bifurcation theory in the context of 0(2) equivariant steady-state and Hopf mode interactions in circumstances where both two and three modes interact. The general actions of the 0(2) orthogonal group are applied to these mode interactions and as an illustration the 0(2) equivariant steady-state/Hopf/Hopf mode interaction is placed in the context of the Taylor-Couette system.
| Item Type: | Thesis (PhD) | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Bifurcation theory, Lie groups, Symmetry (Mathematics) | ||||
| Official Date: | October 1988 | ||||
| Dates: |
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| Institution: | University of Warwick | ||||
| Theses Department: | Mathematics Institute | ||||
| Thesis Type: | PhD | ||||
| Publication Status: | Unpublished | ||||
| Supervisor(s)/Advisor: | Stewart, Ian, 1945- | ||||
| Format of File: | |||||
| Extent: | 153 leaves | ||||
| Language: | eng |
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