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Chaos in Dynamical Systems, by Edward Ott
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This book is an in-depth and broad text on the subject of chaos in dynamical systems. It is intended to serve both as a graduate course text for science and engineering students, and as a reference and introduction to the subject for researchers. Within the past decade scientists, mathematicians and engineers have realized that a large variety of systems exhibit complicated evolution with time. This complicated behaviour, called chaos, occurs so frequently that it has become important for workers in many disciplines to have a good grasp of the fundamentals and basic tools of the emerging science of chaotic dynamics. The author's style is pedagogic, and the book will be of value both as a graduate text and also as a reference work for researchers in science and engineering needing to understand this important new subject. Homework problems are also included throughout the book.
- Sales Rank: #2416557 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1993-04-30
- Original language: English
- Number of items: 1
- Dimensions: 10.00" h x .83" w x 7.01" l,
- Binding: Paperback
- 397 pages
- Used Book in Good Condition
Review
' ... provides a stimulating selection of topics ... His description provides an excellent, intuitive account of chaos, which is essential to developing scientists.' Nature
'Ott's book provides a stimulating selection of topics that could be taught a la carte in postgraduate courses ... He 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
About the Author
Edward Ott is currently on the faculty of the University of Maryland where he holds the title of Distinguished University Professor of Physics and of Electrical and Computer Engineering. Before coming to Maryland in 1979, he was a Professor of Electrical Engineering at Cornell University (1968-1979). Prof. Ott's early research was on plasma physics and charged particle beams, including research on space plasmas, fusion plasmas, intense ion beams, and electromagnetic wave generation by electron beams. Since the early 1980s, Prof. Ott's main research interests have been in nonlinear dynamics and its applications to problems in science and engineering. Some of this work includes contributions in the areas of bifurcations of chaotic sets, the fractal dimension of strange attractors, the structure of basin boundaries, applications of chaotic dynamics to problems in fluids and plasmas, and the control and synchronization of chaos. Prof. Ott has also been active in the education of students in nonlinear dynamics. He is an author of over 300 research articles in scientific journals.
Most helpful customer reviews
6 of 6 people found the following review helpful.
no pretty fractal diagrams, but good explanations
By W Boudville
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.
2 of 2 people found the following review helpful.
Echo...echo...echo...
By HarpoDC
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.
16 of 19 people found the following review helpful.
Destined to become the standard text of the field
By A Customer
An excellent text that is written in a very understandable and careful style. It gives the readers a good grasp
of the fundamentals by emphasizing main ideas instead of harping on technical definitions. The
bibliography at the end of the book is also a good source for readers who want to delve further into the
technical literature.
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