Dynamics in One Dimension

1. Front Matter

   Pages I-VIII

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2. Introduction

   • Louis Stuart Block, William Andrew Coppel

   Pages 1-3

3. Periodic orbits

   • Louis Stuart Block, William Andrew Coppel

   Pages 5-23

4. Turbulence

   • Louis Stuart Block, William Andrew Coppel

   Pages 25-46

5. Unstable manifolds and homoclinic points

   • Louis Stuart Block, William Andrew Coppel

   Pages 47-67

6. Topological dynamics

   • Louis Stuart Block, William Andrew Coppel

   Pages 69-89

7. Topological dynamics (continued)

   • Louis Stuart Block, William Andrew Coppel

   Pages 91-119

8. Chaotic and non-chaotic maps

   • Louis Stuart Block, William Andrew Coppel

   Pages 121-166

9. Types of periodic orbits

   • Louis Stuart Block, William Andrew Coppel

   Pages 167-188

10. Topological Entropy

    • Louis Stuart Block, William Andrew Coppel

    Pages 189-218

11. Maps of the circle

    • Louis Stuart Block, William Andrew Coppel

    Pages 219-234

12. Back Matter

    Pages 235-248

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The behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recently attracted considerable attention. It is not so widely known that a substantial theory has by now been built up for arbitrary continuous maps of an interval. The purpose of the book is to give a clear account of this subject, with complete proofs of many strong, general properties. In a number of cases these have previously been difficult of access. The analogous theory for maps of a circle is also surveyed. Although most of the results were unknown thirty years ago, the book will be intelligible to anyone who has mastered a first course in real analysis. Thus the book will be of use not only to students and researchers, but will also provide mathematicians generally with an understanding of how simple systems can exhibit chaotic behaviour.

• Chaos
• Microsoft Access
• Periodicity
• Topological Dynamics
• behavior
• entropy
• iteration
• manifold
• proof
• real analysis
• turbulence
• types

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