Topological Classification of Families of Diffeomorphisms Without Small Divisors

Topological Classification of Families of Diffeomorphisms Without Small Divisors
Author :
Publisher : American Mathematical Soc.
Total Pages : 183
Release :
ISBN-10 : 9780821847480
ISBN-13 : 0821847481
Rating : 4/5 (481 Downloads)

Book Synopsis Topological Classification of Families of Diffeomorphisms Without Small Divisors by : Javier Ribón

Download or read book Topological Classification of Families of Diffeomorphisms Without Small Divisors written by Javier Ribón and published by American Mathematical Soc.. This book was released on 2010 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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"Volume 209, number 984 (third of 5 numbers)."