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Applied Mathematical Sciences

Elements of Applied Bifurcation Theory

Authors: Kuznetsov, Yuri

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  • * Dynamical systems continues to be a topic of current interest in mathematics, engineering, and physics. * This modern approach provides the reader with a solid basis in dynamical systems theory and the approaches, methods, results, and terminology used in the current applied mathematics literature. * Makes the theory understandable with illustrations of applications to nonlinear phenomena. * Whenever possible, only elementary mathematical tools are used. * It will be useful to a broad range of people who use dynamical systems as modeling tools. * Special attention given to efficient numerical implementations of the developed techniques. * New edition incorporates recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.

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  • ISBN 978-0-387-22710-8
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About this book

 This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations. The book is designed for advanced undergraduate or graduate students in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the previous editions, while updating the context to incorporate recent theoretical and software developments and modern techniques for bifurcation analysis. Reviews of earlier editions: "I know of no other book that so clearly explains the basic phenomena of bifurcation theory." - Math Reviews "The book is a fine addition to the dynamical systems literature. It is good to see, in our modern rush to quick publication, that we, as a mathematical community, still have time to bring together, and in such a readable and considered form, the important results on our subject." - Bulletin of the AMS "It is both a toolkit and a primer" - UK Nonlinear News

Reviews

Review of earlier edition

"I know of no other book that so clearly explains the basic phenomena of bifurcation theory." Math Reviews "The book is a fine addition to the dynamical systems literature. It is good to see, in our modern rush to quick publication, that we, as a mathematical community, still have time to bring together, and in such a readable and considered form, the important results on our subject." Bulletin of the AMS

From the reviews of the third edition:

"In the third edition of this textbook, the material again has been slightly extended while the main structure of the book was kept. … the clear structure of the book allows applied scientists to use it as a reference book. … Kuznetsov’s book on applied bifurcation theory is still very useful both as a textbook and as a reference work for researchers from the natural sciences, engineering or economics." (Jörg Härterich, Zentralblatt MATH, Vol. 1082, 2006)


Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-0-387-22710-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Elements of Applied Bifurcation Theory
Authors
Series Title
Applied Mathematical Sciences
Series Volume
112
Copyright
1998
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-22710-8
DOI
10.1007/b98848
Series ISSN
0066-5452
Edition Number
2
Number of Pages
XIX, 594
Topics

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