Mode interactions with symmetry
Castro, Sofia Balbina Santos Dias de (1993) Mode interactions with symmetry. PhD thesis, University of Warwick.
WRAP_THESIS_deCastro_1993.pdf - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Official URL: http://webcat.warwick.ac.uk/record=b1449479~S15
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 or Dissertation (PhD)|
|Subjects:||Q Science > QA Mathematics|
|Library of Congress Subject Headings (LCSH):||Lie groups, Bifurcation theory, Spherical harmonics, Symmetry (Mathematics)|
|Institution:||University of Warwick|
|Theses Department:||Mathematics Institute|
|Supervisor(s)/Advisor:||Stewart, Ian, 1945-|
|Sponsors:||Junta Nacional de Investigação Científica e Tecnológica (Portugal) (JNICT)|
|Extent:||viii, 109 p.|
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