Topological dynamical systems : an introduction to the dynamics of continuous mappings / Jan de Vries.

Format:

Book

Author/Creator:

Vries, J. de (Jan)

Series:

De Gruyter studies in mathematics ; 59.

De Gruyter studies in mathematics, 0179-0986 ; volume 59

Language:

English

Subjects (All):

Topological dynamics.

Physical Description:

1 online resource (516 p.)

Edition:

1st ed.

Place of Publication:

Berlin ; Boston : De Gruyter, [2014]

Language Note:

English

Summary:

There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.

Contents:

Frontmatter

Preface

Notation

Contents

0. Introduction

1. Basic notions

2. Dynamical systems on the real line

3. Limit behaviour

4. Recurrent behaviour

5. Shift systems

6. Symbolic representations

7. Erratic behaviour

8. Topological entropy

A. Topology

B. The Cantor set

C. Hints to the Exercises

Literature

Index

De Gruyter Studies in Mathematics

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

3-11-034073-9

3-11-034240-5

OCLC:

870591587