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On Axiom A Diffeomorphisms
 
A co-publication of the AMS and CBMS
Front Cover for On Axiom A Diffeomorphisms
Available Formats:
Electronic ISBN: 978-0-8218-3438-1
Product Code: CBMS/35.E
45 pp 
List Price: $24.00
Individual Price: $19.20
Front Cover for On Axiom A Diffeomorphisms
Click above image for expanded view
On Axiom A Diffeomorphisms
A co-publication of the AMS and CBMS
Available Formats:
Electronic ISBN:  978-0-8218-3438-1
Product Code:  CBMS/35.E
45 pp 
List Price: $24.00
Individual Price: $19.20
  • Book Details
     
     
    CBMS Regional Conference Series in Mathematics
    Volume: 351978
    MSC: Primary 58; Secondary 28; 54;

    These notes survey the results about Axiom A diffeomorphisms obtained since Smale's well-known paper of 1967. In that paper Smale defined these diffeomorphisms and set up a program for dynamical systems centered around them. These examples are charming in that they display complicated behavior but are still intelligible. This means that there are many theorems and yet some open problems.

    The first two sections copy Smale's paper for completeness. The last sections deal with certain non Axiom A systems that have received a good deal of attention. These systems display a certain amount of Axiom A type of behavior.

  • Table of Contents
     
     
    • Chapters
    • Definition and examples
    • Spectral decomposition and stability
    • Symbolic dynamics
    • Topological entropy
    • Entropy and homology
    • Ergodic theory
    • Flows
    • Horocycle flows
    • Maps of the interval
    • Other examples
  • Request Review Copy
Volume: 351978
MSC: Primary 58; Secondary 28; 54;

These notes survey the results about Axiom A diffeomorphisms obtained since Smale's well-known paper of 1967. In that paper Smale defined these diffeomorphisms and set up a program for dynamical systems centered around them. These examples are charming in that they display complicated behavior but are still intelligible. This means that there are many theorems and yet some open problems.

The first two sections copy Smale's paper for completeness. The last sections deal with certain non Axiom A systems that have received a good deal of attention. These systems display a certain amount of Axiom A type of behavior.

  • Chapters
  • Definition and examples
  • Spectral decomposition and stability
  • Symbolic dynamics
  • Topological entropy
  • Entropy and homology
  • Ergodic theory
  • Flows
  • Horocycle flows
  • Maps of the interval
  • Other examples
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