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Elements of Applied Bifurcation Theory
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Elements of Applied Bifurcation Theory Hardcover - 2004

by Yuri Kuznetsov


From the publisher

From Reviews of the First Edition: "I know of no other book that so clearly explains the basic phenomena of bifurcation theory." -Mathematical Reviews

This book provides a student or researcher with a solid basis in nonlinear dynamical systems and their bifurcations, giving them the necessary understanding of the approaches, methods, results and terminology used in the modern applied mathematics literature. It covers the basic topics of the bifurcation theory and can help in composing a course on nonlinear dynamical systems or system theory. This new edition preserves the structure of the previous edition, while updating the context to incorporate recent theoretical and software developments, in particular new and improved numerical methods for bifurcation analysis.

From the rear cover

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

Details

  • Title Elements of Applied Bifurcation Theory
  • Author Yuri Kuznetsov
  • Binding Hardcover
  • Edition 3rd
  • Pages 632
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 2004-06-29
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index, Maps
  • ISBN 9780387219066 / 0387219064
  • Weight 2.33 lbs (1.06 kg)
  • Dimensions 9.48 x 6.38 x 1.36 in (24.08 x 16.21 x 3.45 cm)
  • Library of Congress subjects Bifurcation theory
  • Library of Congress Catalog Number 2004046862
  • Dewey Decimal Code 515.392
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Elements of Applied Bifurcation Theory

Elements of Applied Bifurcation Theory

by Yuri Kuznetsov

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Elements of Applied Bifurcation Theory (Applied Mathematical Sciences)
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Elements of Applied Bifurcation Theory (Applied Mathematical Sciences)

by Kuznetsov, Yuri

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Elements of Applied Bifurcation Theory (Applied Mathematical Sciences, 112)
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Elements of Applied Bifurcation Theory (Applied Mathematical Sciences, 112)

by Kuznetsov, Yuri

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