Topological Dynamical Systems : : An Introduction to the Dynamics of Continuous Mappings /

Topological Dynamical Systems : : An Introduction to the Dynamics of Continuous Mappings / / Jan Vries.

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 liter...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
VerfasserIn:
Vries, Jan,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2014]
©2014
Year of Publication:2014
Language:English
Series:De Gruyter Studies in Mathematics , 59
Online Access:
Physical Description:1 online resource (498 p.)
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Table of 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

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