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Mode interactions with symmetry
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Castro, Sofia Balbina Santos Dias de (1993) Mode interactions with symmetry. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b1449479~S15
Abstract
This thesis deals with steady-state mode interaction problems with symmetry.
We prove several results concerning problems invariant under the action of an
arbitrary compact Lie group Γ. These include the existence of mixed-mode
solutions and secondary Hopf bifurcations. We also consider the unfolding of
the equations characterizing such problems. Where appropriate, we distinguish
the case when Γ acts trivially on one of the modes. We then apply the results to
the problems of the (1,3)-, (1,5)- and (1,3,5)-mode interactions with spherical
symmetry. We also consider the (3,5)- and the (1,3,5)-mode interaction
problems with SO(3) symmetry.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Lie groups, Bifurcation theory, Spherical harmonics, Symmetry (Mathematics) | ||||
Official Date: | February 1993 | ||||
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Publication Status: | Unpublished | ||||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- | ||||
Sponsors: | Junta Nacional de Investigação Científica e Tecnológica (Portugal) (JNICT) | ||||
Extent: | viii, 109 p. | ||||
Language: | eng |
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