Topological Theory of Dynamical Systems :Recent Advances ( Volume 52 )

Publication subTitle :Recent Advances

Publication series :Volume 52

Author: Aoki   N.;Hiraide   K.  

Publisher: Elsevier Science‎

Publication year: 1994

E-ISBN: 9780080887210

P-ISBN(Paperback): 9780444899170

P-ISBN(Hardback):  9780444899170

Subject: O189.3 analytical topology

Language: ENG

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Description

This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians. Although some of the topics discussed are relatively new, others are not: this book is not a collection of research papers, but a textbook to present recent developments of the theory that could be the foundations for future developments.

This book contains a new theory developed by the authors to deal with problems occurring in diffentiable dynamics that are within the scope of general topology. To follow it, the book provides an adequate foundation for topological theory of dynamical systems, and contains tools which are sufficiently powerful throughout the book.

Graduate students (and some undergraduates) with sufficient knowledge of basic general topology, basic topological dynamics, and basic algebraic topology will find little difficulty in reading this book.

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 8

Contents

pp.:  8 – 10

INTRODUCTION

pp.:  10 – 24

CHAPTER 1. Some Properties of Anosoy Systems

pp.:  24 – 40

CHAPTER 2. Dynamics of Continuous Maps

pp.:  40 – 105

CHAPTER 3. Nonwandering Sets

pp.:  105 – 136

CHAPTER 4. Markov Partitions

pp.:  136 – 156

CHAPTER 5. Local Product Structures

pp.:  156 – 177

CHAPTER 6. TA-Covering Maps

pp.:  177 – 231

CHAPTER 7. Solenoidal Groups and Self-covering Maps

pp.:  231 – 250

CHAPTER 8. TA-Covering Maps of Tori

pp.:  250 – 289

CHAPTER 9. Perturbations of Hyperbolic Toral Endomorphisms

pp.:  289 – 313

CHAPTER 10. Fixed Point Indices

pp.:  313 – 369

CHAPTER 11. Foundations of Ergodic Theory

pp.:  369 – 411

REFERENCES

pp.:  411 – 420

INDEX

pp.:  420 – 426

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