Chaos in Dynamical Systems 2nd Edition by Edward Ott (PDF)

Description

Over the past two decades scientists, mathematicians, and engineers have come to understand that a large variety of systems exhibit complicated evolution with time. This complicated behavior is known as chaos. In the new edition of this classic textbook Edward 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. This new edition will be of interest to advanced undergraduates and graduate students in science, engineering, and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is too expensive for a twenty year old 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.

⭐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

⭐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.

⭐Two important notes:I got the paperback edition.I cannot judge the content, since I did (could) not read a great deal of the book.If I did not read much of the book, how could I give such a low rating?The problem is: The quality of the book is that bad that I am unable to read through it.The printing is small, really small, and the characters are of such low quality that sometimes it’s hard to even recognize them. The figures printing quality are of just the same low quality: Really, really bad.Sorry, but I this book’s manufacturing quality is that low that it affects it’s readability.A reasonable manufacturing quality I require of a book.And a book you got to spend ~80 Euros I feel I can demand a minimum ov manufacturing quality.

⭐カオスをかじりたいなら、1、2、3、4、7章で十分。つまり半分でいい。とりあえずトピックが豊富。マニアックにやるなら色々と参照するために便利かも。McCAULEYやDEVANEYのほうが面白い。

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