Chaos in Dynamical Systems 2nd Edition

by Edward Ott (Author)

5 customer reviews

ISBN-13: 978-0521010849

ISBN-10: 9780521010849

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In the new edition of this classic textbook Ed Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos, and strange nonchaotic attractors.

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Editorial Reviews

Review

"...a stimulating selection of topics that could be taught a la carte in postgraduate courses. The book is given unity by a preoccupation with scaling arguments, but covers almost all aspects of the subject (dimensions of strange attractors, transitions to chaos, thermodynamic formalism, scattering quantum chaos and so on...Ott has managed to capture the beauty of this subject in a way that should motivate and inform the next generation of students in applied dynamical systems." Nature

"...a book that will be of most interest to physicists and engineers...The book is well written, and does contain material that is hard to find elsewhere. In particular, the discussion of fractal basin boundaries is lucidly written, and this is an important topic." Bulletin of Mathematical Biology

Book Description

In the new edition of this classic textbook Ed Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos, and strange nonchaotic attractors.

See all Editorial Reviews

Product details

Paperback: 492 pages
Publisher: Cambridge University Press; 2 edition (September 9, 2002)
Language: English
ISBN-10: 9780521010849
ISBN-13: 978-0521010849
ASIN: 0521010845
Product Dimensions: 7.4 x 1 x 9.7 inches
Shipping Weight: 2.2 pounds (View shipping rates and policies)
Average Customer Review: 5 customer reviews
Amazon Best Sellers Rank: #252,750 in Books (See Top 100 in Books)
- #30 in Books > Science & Math > Physics > Chaos Theory
- #65 in Books > Science & Math > Physics > System Theory
- #126 in Books > Computers & Technology > Computer Science > Systems Analysis & Design

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no pretty fractal diagrams, but good explanations

November 25, 2006

Format: Paperback

Ott gives a very clear description of the concept of chaos or chaotic behaviour in a dynamical system of equations. Where often these equations are nonlinear. While containing rigour, the text proceeds at a pace suitable for a non-mathematician in the physical sciences. In other words, it is not at a very formal level, like the epsilon-delta approach to teaching calculus. The concepts are also backed by well drawn diagrams, that illustrate key points.

The book does not have the lovely diagrams of Julia sets and fractals, that you often see in other books on this subject. Those are certainly pretty and useful. But Ott's book concentrates on the ideas.

7 people found this helpful8 people found this helpful

Good for physicists

August 13, 2001

Format: Paperback

A good introduction to chaos in dynamical systems for physicists. The emphasis is not on time-series analysis or nonlinear systems, but chaos in "physical" systems (in the sense of applications in physics). A good reading for undergrads in physics and maths. One of the best starters for getting deeper into chaos theory...

13 people found this helpful14 people found this helpful

Very good for Physicists

February 26, 2004

Format: Paperback

The best book on chaos in Dynamical Systems for physicists: clear, well written, contains the right things and does not waste time treating less necessary sections on the subject. Particularly valuable is the part on Entropy, Information and strange attractors. A good choice is to use it together with V.I. Arnold's CM. Contains also a final part on connections between QM and chaos.

8 people found this helpful9 people found this helpful

Echo...echo...echo...

April 17, 2007

Format: Paperback

I can only echo the comments made by other reviewers: excellent, well-paced introduction that focuses on the meat of the subject and leaves out all the pretty-picture stuff. Suitably pitched at non-mathematicians who are drawn to this fascinating subject, it eschews the formal theorem-proof format and carefully explains concepts, then applies them. If you are scientifically literate, I highly recommend this textbook. Genuinely useful.

2 people found this helpful3 people found this helpful

good introduction to chaos

March 10, 2007

Format: Paperback

The book is a good introduction to chaos and the new edition has a chapter on synchronization that is a good review of the literature

One person found this helpful2 people found this helpful

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