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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

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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)
Subjects: Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH): Lie groups, Bifurcation theory, Spherical harmonics, Symmetry (Mathematics)
Official Date: February 1993
Dates:
DateEvent
February 1993Submitted
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Publication Status: Unpublished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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