Electronic ISBN:  9780821834381 
Product Code:  CBMS/35.E 
List Price:  $24.00 
Individual Price:  $19.20 

Book DetailsCBMS Regional Conference Series in MathematicsVolume: 35; 1978; 45 ppMSC: Primary 58; Secondary 28; 54;
These notes survey the results about Axiom A diffeomorphisms obtained since Smale's wellknown 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


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These notes survey the results about Axiom A diffeomorphisms obtained since Smale's wellknown 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