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AN ALGEBRAIC CRITERION FOR SYMMETRICAL HOPF-BIFURCATION
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UNSPECIFIED (1993) AN ALGEBRAIC CRITERION FOR SYMMETRICAL HOPF-BIFURCATION. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 440 (1910). pp. 727-732.
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Abstract
The equivariant Hopf bifurcation theorem states that bifurcating branches of periodic solutions with certain symmetries exist when the fixed-point subspace of that subgroup of symmetries is two dimensional. We show that there is a group-theoretic restriction on the subgroup of symmetries in order for that subgroup to have a two-dimensional fixed-point subspace in any representation. We illustrate this technique for all irreducible representations of SO(3) on the space V(l) of spherical harmonics for l even.
Item Type: | Journal Item | ||||
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Subjects: | Q Science | ||||
Journal or Publication Title: | PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | ||||
Publisher: | ROYAL SOC LONDON | ||||
ISSN: | 1364-5021 | ||||
Official Date: | 8 March 1993 | ||||
Dates: |
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Volume: | 440 | ||||
Number: | 1910 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 727-732 | ||||
Publication Status: | Published |
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