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© 1997

Exotic Attractors

From Liapunov Stability to Riddled Basins

Book

Part of the Progress in Mathematics book series (PM, volume 153)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jorge Buescu
    Pages 1-33
  3. Jorge Buescu
    Pages 35-64
  4. Back Matter
    Pages 121-130

About this book

Introduction

This book grew out of the work developed at the University of Warwick, under the supervision of Ian Stewart, which formed the core of my Ph.D. Thesis. Most of the results described were obtained in joint work with Ian; as usual under these circumstances, many have been published in research journals over the last two years. Part of Chapter 3 was also joint work with Peter Ashwin. I would like to stress that these were true collaborations. We worked together at all stages; it is meaningless to try to identify which idea originated from whom. While preparing this book, however, I felt that a mere description of the results would not be fitting. First of all, a book is aimed at a wider audience than papers in research journals. More importantly, the work should assume as little as possible, and it should be brought to a form which is pleasurable, not painful, to read.

Keywords

chaos dynamical systems dynamics ergodic theory instability stability stress

Authors and affiliations

  1. 1.Departamento de MatemáticaInstituto Superior TécnicoLisboa CedexPortugal

Bibliographic information

  • Book Title Exotic Attractors
  • Book Subtitle From Liapunov Stability to Riddled Basins
  • Authors Jorge Buescu
  • Series Title Progress in Mathematics
  • Series Abbreviated Title Progress in Mathematics(Birkhäuser)
  • DOI https://doi.org/10.1007/978-3-0348-7421-2
  • Copyright Information Birkhäuser Basel 1997
  • Publisher Name Birkhäuser Basel
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-7643-5793-1
  • Softcover ISBN 978-3-0348-7423-6
  • eBook ISBN 978-3-0348-7421-2
  • Series ISSN 0743-1643
  • Series E-ISSN 2296-505X
  • Edition Number 1
  • Number of Pages XIV, 130
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Topology
  • Buy this book on publisher's site

Reviews

 
    "The author gives a thorough insight into topological and ergodic properties of invariant subsets and their structure, classifies the main concepts which are used in the book and describes their characteristics. In addition, some new important concepts which, for the most part, have been previously known only from articles are presented... 
  The manner of exposition is in the tradition of mathematics: rigorous description of the concepts and notions of attractors in dynamics, and detailed proofs of main results. At the same time, the material is presented at an acceptable level for the wide circle of researchers and post-graduate students who apply ideas of dynamical systems. Moreover, because the book is self-contained, readers can use it as a fine introduction to the modern theory of attractors and related topics. 
  The book is clearly written, and it has many references (about 120 entries); in addition, some results are supported by helpful examples (and even sometimes counterexamples). Moreover, at the end of each chapter the readers can find very useful general comments and historical remarks."   
  -- Mathematical Reviews