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

Format:

Book

Author/Creator:

Ribón, Javier, 1974-

Series:

Memoirs of the American Mathematical Society ; no. 975.

Memoirs of the American Mathematical Society, 0065-9266 ; no. 975

Language:

English

Subjects (All):

Topological dynamics.

Diffeomorphisms.

Differentiable dynamical systems.

Physical Description:

ix, 166 pages : illustrations ; 25 cm.

Place of Publication:

Providence, R.I. : American Mathematical Society, 2010.

Summary:

"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.

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.

Notes:

"Volume 207, number 975 (end of volume )."

Includes bibliographical references (page 163) and index.

ISBN:

9780821847480

0821847481

OCLC:

643081636