Memoirs of the American Mathematical Society 2010; 166 pp; softcover Volume: 207 ISBN10: 0821847481 ISBN13: 9780821847480 List Price: US$81 Individual Members: US$48.60 Institutional Members: US$64.80 Order Code: MEMO/207/975
 The author gives a complete topological classification for germs of oneparameter families of onedimensional complex analytic diffeomorphisms without small divisors. In the nontrivial 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. Table of Contents  Outline of the monograph
 Flower type vector fields
 A clockwork orange
 The Tsets
 The long limits
 Topological conjugation of (NSD) vector fields
 Families of diffeomorphisms without small divisors
 Topological invariants of (NSD) diffeomorphisms
 Tangential conjugations
 List of notations
 Bibliography
 Index
