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On Axiom A Diffeomorphisms
 
R. Bowen
A co-publication of the AMS and CBMS
On Axiom A Diffeomorphisms
eBook ISBN:  978-0-8218-3438-1
Product Code:  CBMS/35.E
List Price: $26.00
Individual Price: $20.80
Add to cart
On Axiom A Diffeomorphisms
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On Axiom A Diffeomorphisms
R. Bowen
A co-publication of the AMS and CBMS
eBook ISBN:  978-0-8218-3438-1
Product Code:  CBMS/35.E
List Price: $26.00
Individual Price: $20.80
Add to cart
  • Book Details
     
     
    CBMS Regional Conference Series in Mathematics
    Volume: 35; 1978; 45 pp
    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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
CBMS Regional Conference Series in Mathematics
Volume: 35; 1978; 45 pp
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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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