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Topological Classification of Families of Diffeomorphisms without Small Divisors
 
Javier Ribón University Federal Fluminense, Centro, Niterói, Brazil
Topological Classification of Families of Diffeomorphisms without Small Divisors
eBook ISBN:  978-1-4704-0589-2
Product Code:  MEMO/207/975.E
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
Topological Classification of Families of Diffeomorphisms without Small Divisors
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Topological Classification of Families of Diffeomorphisms without Small Divisors
Javier Ribón University Federal Fluminense, Centro, Niterói, Brazil
eBook ISBN:  978-1-4704-0589-2
Product Code:  MEMO/207/975.E
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2072010; 166 pp
    MSC: Primary 37;

    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.

  • Table of Contents
     
     
    • Chapters
    • Preface
    • 1. Outline of the Monograph
    • 2. Flower Type Vector Fields
    • 3. A Clockwork Orange
    • 4. The T-sets
    • 5. The Long Limits
    • 6. Topological Conjugation of (NSD) Vector Fields
    • 7. Families of Diffeomorphisms without Small Divisors
    • 8. Topological Invariants of (NSD) Diffeomorphisms
    • 9. Tangential Conjugations
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2072010; 166 pp
MSC: Primary 37;

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.

  • Chapters
  • Preface
  • 1. Outline of the Monograph
  • 2. Flower Type Vector Fields
  • 3. A Clockwork Orange
  • 4. The T-sets
  • 5. The Long Limits
  • 6. Topological Conjugation of (NSD) Vector Fields
  • 7. Families of Diffeomorphisms without Small Divisors
  • 8. Topological Invariants of (NSD) Diffeomorphisms
  • 9. Tangential Conjugations
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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