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Title: Mode interactions with symmetry
Author: Castro, Sofia Balbina Santos Dias de
ISNI:       0000 0001 3525 1107
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1993
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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.
Supervisor: Not available Sponsor: Junta Nacional de Investigação Científica e Tecnológica (Portugal) (JNICT)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics