Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers 2nd Edition

by Robert Hilborn (Author)

7 customer reviews

ISBN-13: 978-0198507239

ISBN-10: 0198507232

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This book introduces readers to the full range of current and background activity in the rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics and geometry in state space to help in understanding nonlinear dynamics and includes a thorough treatment of both differential equation models and iterated map models as well as a derivation of the famous Feigenbaum numbers. It is the only introductory book available that includes the important field of pattern formation and a survey of the controversial questions of quantum chaos. This second edition has been restructured for easier use and the extensive annotated references are updated through January 2000 and include many web sites for a number of the major nonlinear dynamics research centers. With over 200 figures and diagrams, analytic and computer exercises this book is a necessity for both the classroom and the lab.

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Editorial Reviews

Review

"It was a pleasure to read and I am enthusiastically looking forward to seeing its third edition."--Nonlinear Dynamics

About the Author

Robert C. Hilborn, Department of Physics and Astronomy, University of Nebraska-Lincoln

Paperback: 672 pages
Publisher: Oxford University Press; 2 edition (January 11, 2001)
Language: English
ISBN-10: 0198507232
ISBN-13: 978-0198507239
Product Dimensions: 8.9 x 1.6 x 5.9 inches
Shipping Weight: 2.6 pounds (View shipping rates and policies)
Average Customer Review: 7 customer reviews
Amazon Best Sellers Rank: #1,706,203 in Books (See Top 100 in Books)
- #179 in Books > Science & Math > Physics > Chaos Theory
- #1063 in Books > Science & Math > Physics > Dynamics
- #1203 in Books > Textbooks > Science & Mathematics > Mechanics

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7 customer reviews

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Willard L. Maier

A excellent introduction to chaos

November 24, 2003

Format: HardcoverVerified Purchase

This is an accessible and readable introductory textbook on chaos and nonlinear dynamics. It focuses on the ideas behind the theory of chaos, rather than on the details of the mathematics which can sometimes hinder rather than help the reader gain real insight into the mechanisms of nonlinear systems.
By this I do not mean that the author skips over the required mathematics. The text is intended for people with a solid background in differential equations, and some familiarity with classical dynamical systems is also helpful if not completely necessary. I would say it is targeted for advanced undergraduate or beginning graduate students in the mathematical sciences, as well as scientists/engineers with no background in chaos theory. However he does not get bogged down in mathematics at the expense of physical insight. I have been studying the book on my own and have run into few problems in understanding the explanations.
The first chapter goes over 3 chaotic systems as a practical way of introducing the reader to various features of such systems. This provides a basis of practical experience to draw upon for the rest of the book, where the principles of chaos are examined in greater detail. The extensive references given in the book are a valuable addition that can be used to further explore the scientific literature. The references include journal papers as well as books, articles, and software for dynamical systems.
If you have the requisite mathematical background and want to learn the basics of chaos and nonlinear dynamics, I highly recommend this book.

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January 18, 2018

Format: PaperbackVerified Purchase

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Thomas

A very good survey of chaos dynamics

December 8, 2008

Format: PaperbackVerified Purchase

This book is a good introduction with a complete list of references and allows to go more in depth for those interested .
The mathematics are easy and the development clear .
I didn't give 5 stars because while I found the presentation of temporal chaos almost perfect , the spatio-temporal chaos (notably the turbulence) and ergodicity would deserve a better but especially much longer treatment .
I would have balanced the content more in the direction - quantum chaos 3 pages , spatio-temporal chaos 3 chapters .

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Jim

Excellent

August 5, 2010

Format: HardcoverVerified Purchase

The book was in perfect conditions, almost completly new and arrived in a very short time. Excellent.

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King David

fundamental, systematic

November 6, 2001

Format: Paperback

If you are looking for a textbook or reference on chaos theory, I recommend you to buy this book.
If you read other books, you will eventually comment,'chaos is something related to mathematics, very abstract, has nothing to do with my messy bedroom...'
But if you read this book, you will scream,'Great! I have figured out the richness of the nonlinear world. I understand the different dynamical routes to chaos. I know different quantifying methods with their pros and cons. Most fascinating is that chaos is related to pattern formation and self organization, which I consider them as another field of knowledge before. Also chaos may provide a new approach to quantum mechanics, a good news for those including me who do not believe in the parallel universe interpretation. By the way, I learnt a lot from this book!'

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Izzet Sakalli

A good book for introduction

May 21, 2007

Format: Paperback

I have recently bought this book. I have been studying on evolution of the test particles in a particular planewave spacetimes, and I have realized that the system admits a non-integrable structure. I should investigate whether the particle motion emerges chaos or not. But, my knowledge on chaos was almost zero, before buying this book. Now, I am going to complete the full analysis of the book, and I am much more familiar to the concept of chaos. However, this book can be used for just begining. To proceed to the advanced problems you should look for other materials, especially to the articles about chaos. I advise this book as a first book to start chaos.

Dr. Izzet Sakalli

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Udaya Kiran Jagadisan

An excellent introduction

March 8, 2007

Format: Paperback

Covers the basics in an in-depth manner, and exposes the reader to a wide range of exciting problems in dynamical systems theory. THE book to start with if one is interested in chaos.

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