On axiom a diffeomorphisms
Share this pageR Bowen
A co-publication of the AMS and CBMS
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
Table of Contents
On axiom a diffeomorphisms
- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents v6 free
- Chapter 1. Definition and examples 110 free
- Chapter 2. Spectral decomposition and stability 615
- Chapter 3. Symbolic dynamics 1019
- Chapter 4. Topological entropy 1726
- Chapter 5. Entropy and homology 2029
- Chapter 6. Ergodic theory 2534
- Chapter 7. Flows 2938
- Chapter 8. Horocycle flows 3342
- Chapter 9. Maps of the interval 3645
- Chapter 10. Other examples 4049
- Back Cover Back Cover157