Pregled bibliografske jedinice broj: 716514
Modulus of analytic classification for unfoldings of generic parabolic diffeomorphisms
Modulus of analytic classification for unfoldings of generic parabolic diffeomorphisms // Moscow Mathematical Journal, 4 (2004), 2; 455-502 (međunarodna recenzija, članak, znanstveni)
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Naslov
Modulus of analytic classification for unfoldings of generic parabolic diffeomorphisms
Autori
Mardešić, P. ; Roussarie, R. ; Rousseau, C.
Izvornik
Moscow Mathematical Journal (1609-3321) 4
(2004), 2;
455-502
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
unfoldings; Ecalle-Voronin modulus; parabolic point
Sažetak
In this paper we give a complete modulus of analytic classification un-der weak equivalence for generic analytic 1-parameter unfoldings of diffeomorphisms with a generic parabolic point. The modulus is composed of a canonical parameter associated to the family, together with an unfolding of the Ecalle-Voronin modulus. We then study the fixed points bifurcating from a parabolic point with nontrivial Ecalle-Voronin modulus and show that some of the non-hyperbolic resonant ones are non linearizable.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
