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Synopsis
Largely self-contained, this is an introduction to the mathematical structures underlying models of systems whose state changes with time, and which therefore may exhibit "chaotic behavior." The first portion of the book is based on lectures given at the University of London and covers the background to dynamical systems, the fundamental properties of such systems, the local bifurcation theory of flows and diffeomorphisms and the logistic map and area-preserving planar maps. The authors then go on to consider current research in this field such as the perturbation of area-preserving maps of the plane and the cylinder. The text contains many worked examples and exercises, many with hints. It will be a valuable first textbook for senior undergraduate and postgraduate students of mathematics, physics, and engineering.
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Book Description
Largely self-contained, this is an introduction to the mathematical structures underlying models of systems whose state changes with time, and which therefore may exhibit "chaotic behavior".
Review
"...a very good textbook. It brings the reader in a short time through the fundamental ideas underlying the theory of dynamical systems theory." Mathematical Reviews
"...a good textbook on the subject." Physics in Canada
"...a true introduction to the modern theory of dynamical systems....It has many clear figures and it has copious exercises which were readily solvable and instructive." Kenneth R. Meyer, SIAM Review
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An Introduction to Dynamical Systems
Published by
Cambridge University Press, 1990
ISBN 10: 0521316502
ISBN 13: 9780521316507
Used
Paperback
Seller: World of Books (was SecondSale), Montgomery, IL, U.S.A.
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Paperback. Condition: Good. In recent years there has been an explosion of research centred on the appearance of so-called 'chaotic behaviour'. This book provides a largely self contained introduction to the mathematical structures underlying models of systems whose state changes with time, and which therefore may exhibit this sort of behaviour. The early part of this book is based on lectures given at the University of London and covers the background to dynamical systems, the fundamental properties of such systems, the local bifurcation theory of flows and diffeomorphisms, Anosov automorphism, the horseshoe diffeomorphism and the logistic map and area preserving planar maps . The authors then go on to consider current research in this field such as the perturbation of area-preserving maps of the plane and the cylinder. This book, which has a great number of worked examples and exercises, many with hints, and over 200 figures, will be a valuable first textbook to both senior undergraduates and postgraduate students in mathematics, physics, engineering, and other areas in which the notions of qualitative dynamics are employed. Seller Inventory # 00109767011
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An Introduction to Dynamical Systems
Published by
Cambridge University Press, 1990
ISBN 10: 0521316502
ISBN 13: 9780521316507
Used
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Condition: very_good. Book is in very good condition and may include minimal underlining highlighting. The book can also include "From the library of" labels. May not contain miscellaneous items toys, dvds, etc. . We offer 100% money back guarantee and 24 7 customer service. Seller Inventory # ZBV.0521316502.VG
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An Introduction to Dynamical Systems
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Cambridge University Press (edition 1), 1990
ISBN 10: 0521316502
ISBN 13: 9780521316507
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Paperback. Condition: Very Good. 1. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. Seller Inventory # 0521316502-11-1
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An Introduction to Dynamical Systems
Published by
Cambridge University Press, 1990
ISBN 10: 0521316502
ISBN 13: 9780521316507
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An Introduction to Dynamical Systems
Published by
Cambridge University Press, 1990
ISBN 10: 0521316502
ISBN 13: 9780521316507
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An Introduction to Dynamical Systems
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ISBN 10: 0521316502
ISBN 13: 9780521316507
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An Introduction to Dynamical Systems
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An Introduction to Dynamical Systems
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ISBN 10: 0521316502
ISBN 13: 9780521316507
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An Introduction to Dynamical Systems
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Paperback. Condition: Very Good. This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. Seller Inventory # 6545-9780521316507
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An Introduction to Dynamical Systems
Published by
Cambridge University Press, 1990
ISBN 10: 0521316502
ISBN 13: 9780521316507
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