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" Topological classification of families of diffeomorphisms without small divisors / "


Document Type : BL
Record Number : 637231
Doc. No : dltt
Main Entry : Ribón, Javier,1974-
Title & Author : Topological classification of families of diffeomorphisms without small divisors /\ Javier Ribón
Publication Statement : Providence, R.I. :: American Mathematical Society,, 2010
Series Statement : Memoirs of the American Mathematical Society,; no. 975
Page. NO : ix, 166 p. :: ill. ;; 25 cm
ISBN : 9780821847480 (alk. paper)
: : 0821847481 (alk. paper)
Notes : "Volume 207, number 975 (end of volume )."
Bibliographies/Indexes : Includes bibliographical references (p. 163) and index
Contents : Outline of the monograph -- Flower type vector fields -- A clockwork orange -- The T-sets -- The Long Limits -- Topological conjugation of (NSD) vector fields -- Families of diffeomorphisms without small divisors -- Topological invariants of (NSD) diffeomorphisms -- Tangential conjugations
Abstract : "The author gives 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."--Publisher's description
Subject : Topological dynamics
Subject : Diffeomorphisms
Subject : Differentiable dynamical systems
Dewey Classification : ‭515/.39‬
LC Classification : ‭QA611.5‬‭.R53 2010‬
: ‭QA3‬‭.A57 no.975‬
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