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'D IND.N'-simetria em bifurcacao de pontos estacionarios
Miriam Garcia Manoel Maria Aparecida Soares Ruas
1991
Available at
ICMC - Inst. Ciên. Mat. Computação
(T M285d e.1 )
(GetIt)
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Title:
'D IND.N'-simetria em bifurcacao de pontos estacionarios
Author:
Miriam Garcia Manoel
Maria Aparecida Soares Ruas
Subjects:
GEOMETRIA
Notes:
Dissertação (Mestrado)
Description:
The studies developed in this work are concerned with the analysis of the effect of symmetry in steady-state bifurcation problems. Lie group and singularity theory are used to analyse bifurcation problems on c with the action of the dihedral group 'D IND.N', n'> OR ='3, n'DIFFERENT'4. The aim is to obtain results on the local behavior of such problems. Normal forms and unfoldings for two generic ' D IND.3'-equivariant problems are studied 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 'D IND.5'-equivariant bifurcation problem is worked out
Creation Date:
1991
Format:
107p.
Language:
Portuguese
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