Practical Bifurcation and Stability Analysis (Interdisciplinary Applied Mathematics) (v. 5) [Hardcover]

Rüdiger Seydel (Author)

Book Description

Publication Date: October 27, 1994 | ISBN-10: 0387943161 | ISBN-13: 978-0387943169 | Edition: 2nd

This book contains computational methods for numerically computing steady state and Hopf bifurcations. It is probably the first textbook to describe these types of numerical bifurcation techniques. The book requires only a basic knowledge of calculus, and uses detailed examples, problems, and figures. This will be appropriate as a textbook for graduate students.

Editorial Reviews

Review

"The outcome is impressive. The book is beautifully written in a style that seeks not only to develop the subject matter but also to expose the thought processes behind the mathematics." Proceedings of the Edinburgh Mathematical Society

From the Back Cover

This book covers the central role that bifurcations play in nonlinear phenomena, explaining mechanisms of how stability is gained or lost. It emphasizes practical and computational methods for analyzing dynamical systems. A wide range of phenomena between equilibrium and chaos is explained and illustrated by examples from science and engineering. The book is a practical guide for performing parameter studies and includes exercises. Combining an introduction on the textbook level with an exposition of computational methods, this book addresses the mathematical needs of scientists and engineers. It should be of interest to those in a wide variety of disciplines, including physics, mechanical engineering, electrical engineering, chemistry and chemical engineering, biology, and medicine. Both graduate students (in courses on dynamical systems, stability analysis, differential equations, and chaos) and professionals will be able to use the book equally well. The introduction avoids mathematical formalism, and the only required background is calculus. In the third edition there is a chapter on applications and extensions of standard ODE approaches, for example, to delay equations, to differential-algebraic equations, and to reaction-diffusion problems. Additional material is inserted, including the topics deterministic risk, pattern formation, and control of chaos, and many further references. Review of Earlier Edition: "The outcome is impressive. The book is beautifully written in a style that seeks not only to develop the subject matter but also to expose the thought processes behind the mathematics." Proceedings of the Edinburgh Mathematical Society --This text refers to an alternate Hardcover edition.

Product Details

• Hardcover: 428 pages
• Publisher: Springer; 2nd edition (October 27, 1994)
• Language: English
• ISBN-10: 0387943161
• ISBN-13: 978-0387943169
• Product Dimensions: 6.1 x 9.2 x 0.9 inches
• Shipping Weight: 1.7 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #2,581,452 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

8 of 8 people found the following review helpful:

5.0 out of 5 stars For a get-hands-wet approach to learning the subject., April 3, 2000

By A Customer

This review is from: Practical Bifurcation and Stability Analysis (Interdisciplinary Applied Mathematics) (v. 5) (Hardcover)

As it promises in its title, this book is concerned with developing a practising knowledge of bifurcation analysis. The book starts with a very simple introduction, and takes off from there. The content is lively and straightforward. Concepts are introduced in plain language, without the technical complexity of formal mathematical jargon. Few theorems are proved, so the concepts remain in focus. Computational techniques are an important concern, and their problems. All in all, an entertaining and at once informative book to learn using a hands-on-approach. It manages to cover a fairly large amount of material, for a thorough introduction. Useful for people who are primarily interested in applications.