Não disponível / The studies developed in this work are concerned with the analysis of the effect of symmetry in steady-state bifurcation problems. Lie groups and singularity theory are used to analyse bifurcation problems on C with the action of the dihedral group Dn, n ≥ 3, n ≠ 4. The aim is to obtain results on the local behavior of such problems. Normal forms and unfolding for two generic D3-equivariant problems are studies and the results are applied in the traction problem for deformation of an elastic cube (Mooney-Rivlin Material). An interesting example showing the global dynamic of a D5-equivariant bifurcation problem is worked out.
| Identifer | oai:union.ndltd.org:usp.br/oai:teses.usp.br:tde-28112018-105320 |
| Date | 19 December 1991 |
| Creators | Manoel, Miriam Garcia |
| Contributors | Ruas, Maria Aparecida Soares |
| Publisher | Biblioteca Digitais de Teses e Dissertações da USP |
| Source Sets | Universidade de São Paulo |
| Language | Portuguese |
| Detected Language | English |
| Type | Dissertação de Mestrado |
| Format | application/pdf |
| Rights | Liberar o conteúdo para acesso público. |
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