An error was encountered while trying to add the item to the cart. Please try again.
Copy To Clipboard
Successfully Copied!
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
List Price: $24.00 Individual Price:$19.20
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
 List Price: $24.00 Individual Price:$19.20
• Book Details

CBMS Regional Conference Series in Mathematics
Volume: 351978; 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
• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 351978; 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 reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.