Reversible normal forms of degenerate cusps for planar diffeomorphisms

✍ Scribed by Alain Jacquemard; Marco-Antonio Teixeira

• Publisher: Elsevier Science
• Year: 1998
• Tongue: French
• Weight: 777 KB
• Volume: 122
• Category: Article
• ISSN: 0007-4497
• DOI: 10.1016/s0007-4497(98)80001-8

✦ Synopsis

R&xIMB. -Dans cet article on donne des formes normales de germes a I'origine de diffkomorphismes rkversibles du plan dont la partie 1inCaire est unipotente 9 valeurs propres positives. Le calcul de ces formes normales est bask sur des algorithmes de gComCtrie algtbrique effective. On Ctudie aussi des d&formations gCn&iques & k paramktres (1 < k: 5 6). 0 Elsevier, Paris ABSTRACT. -In this paper we deal with normal forms of germs at the origin of reversible planar diffeomorphisms whose linear part is unipotent with positive eigenvalues. The computing of these normal forms involves effective algebraic geometry algorithms. We also study generic k-parameters deformations (1 5 k: < 6). 0 Elsevier, Paris (*) Manuscript presented by J.-P. FRANCOISE,