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ON THE BIFURCATIONS OF SUBHARMONICS IN REVERSIBLE-SYSTEMS
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UNSPECIFIED (1991) ON THE BIFURCATIONS OF SUBHARMONICS IN REVERSIBLE-SYSTEMS. LECTURE NOTES IN MATHEMATICS, 1463 . pp. 167-192. ISSN 0075-8434.
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Abstract
Following Vanderbauwhede's approach [23], the study of the local bifurcation of subharmonics in reversible systems leads to reduced equations equivariant under the dihedral groups. Depending on the dimension of the space, or on the type of the involution, the bifurcation equations can change significantly. We investigate some unusual properties of those equations. In particular we classify up to topological codimension 1 the degenerate bifurcations when the dimension of the space is odd and the signature of the involution is +1.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Journal or Publication Title: | LECTURE NOTES IN MATHEMATICS | ||||
| Publisher: | SPRINGER VERLAG | ||||
| ISSN: | 0075-8434 | ||||
| Official Date: | 1991 | ||||
| Dates: |
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| Volume: | 1463 | ||||
| Number of Pages: | 26 | ||||
| Page Range: | pp. 167-192 | ||||
| Publication Status: | Published |
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