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Progress in Mathematics

Exotic Attractors

From Liapunov Stability to Riddled Basins

Authors: Buescu, Jorge

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About this book

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.

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   

Table of contents (3 chapters)

Table of contents (3 chapters)

Buy this book

eBook $69.99
price for USA in USD
  • ISBN 978-3-0348-7421-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Exotic Attractors
Book Subtitle
From Liapunov Stability to Riddled Basins
Authors
Series Title
Progress in Mathematics
Series Volume
153
Copyright
1997
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag, Basel, Switzerland
eBook ISBN
978-3-0348-7421-2
DOI
10.1007/978-3-0348-7421-2
Softcover ISBN
978-3-0348-7423-6
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XIV, 130
Topics