Topological classification of families of diffeomorphisms without small divisors / Javier Ribón

Auteur principal : Ribón, Javier, 1974-, AuteurType de document : MonographieCollection : Memoirs of the American Mathematical Society, 975Langue : anglais.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, 2010Description : 1 vol. (IX-166 p.) : fig. ; 26 cmISBN: 9780821847480.ISSN: 0065-9266.Bibliographie : Bibliogr. p. 163. Index.Sujet MSC : 37C15, Smooth dynamical systems: general theory, Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems
37F46, Dynamical systems over complex numbers, Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets
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Bibliogr. p. 163. Index

"We give a complete topological classification for germs of one-parameter families of one-dimensional complex analytic diffeomorphisms without small divisors. In the non-trivial cases the topological invariants are given by some functions attached to the fixed points set plus the analytic class of the element of the family corresponding to the special parameter. The proof is based on the structure of the limits of orbits when we approach the special parameter." (Source : AMS)

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