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INVARIANT CURVES OF AN ANALYTIC SLOW-FAST MAPPING AND BIFURCATION DELAY
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UNSPECIFIED (1993) INVARIANT CURVES OF AN ANALYTIC SLOW-FAST MAPPING AND BIFURCATION DELAY. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 317 (12). pp. 1109-1114. ISSN 0764-4442
Full text not available from this repository.Abstract
We prove the Gevrey-1 nature of the formal expansion in powers of v of invariant curves for analytic slow-fast mappings F-v:C-2 --> C-2: (x, lambda) --> (f (x, lambda) -->(f(x, lambda), lambda + v), in the vicinity of an analytic curve y(lambda) of fixed points of f(.,lambda h). If y(lambda) changes stability at lambda(D) with multiplier eta not equal 1, \eta\ = 1, then it follows that or bits of F-v with initial condition in the basin of attraction of y exhibit a delayed bifurcation.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE |
| Publisher: | GAUTHIER-VILLARS |
| ISSN: | 0764-4442 |
| Date: | 16 December 1993 |
| Volume: | 317 |
| Number: | 12 |
| Number of Pages: | 6 |
| Page Range: | pp. 1109-1114 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/20845 |
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