Hundreds of Mathematics books at half price + FREE shipping! Get yours now >>

Applied Mathematical Sciences

Elements of Applied Bifurcation Theory

Authors: Kuznetsov, Yuri

Buy this book

eBook 109,99 €
price for France (gross)
  • ISBN 978-1-4757-3978-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 137,14 €
price for France (gross)
  • ISBN 978-0-387-21906-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 137,14 €
price for France (gross)
  • ISBN 978-1-4419-1951-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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)

“This book deals with the theory of dynamical systems relevant for applications. The material is presented in a systematic and very readable form. It covers recent developments in bifurcation theory, with special attention to efficient numerical implementations. The text aims at an audience of graduate and Ph.D. students in applied mathematics, and researchers in science and engineering, who use dynamical systems and bifurcation analysis as a tool. Each chapter contains useful examples and many illustrations.” (Dirk Roose, Bulletin of the Belgian Mathematical Society, 2007)


Table of contents (10 chapters)

  • Introduction to Dynamical Systems

    Kuznetsov, Yuri A.

    Pages 1-37

    Preview Buy Chapter 29,94 €
  • Topological Equivalence, Bifurcations, and Structural Stability of Dynamical Systems

    Kuznetsov, Yuri A.

    Pages 39-76

    Preview Buy Chapter 29,94 €
  • One-Parameter Bifurcations of Equilibria in Continuous-Time Dynamical Systems

    Kuznetsov, Yuri A.

    Pages 77-115

    Preview Buy Chapter 29,94 €
  • One-Parameter Bifurcations of Fixed Points in Discrete-Time Dynamical Systems

    Kuznetsov, Yuri A.

    Pages 117-155

    Preview Buy Chapter 29,94 €
  • Bifurcations of Equilibria and Periodic Orbits in n-Dimensional Dynamical Systems

    Kuznetsov, Yuri A.

    Pages 157-194

    Preview Buy Chapter 29,94 €

Buy this book

eBook 109,99 €
price for France (gross)
  • ISBN 978-1-4757-3978-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 137,14 €
price for France (gross)
  • ISBN 978-0-387-21906-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 137,14 €
price for France (gross)
  • ISBN 978-1-4419-1951-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Elements of Applied Bifurcation Theory
Authors
Series Title
Applied Mathematical Sciences
Series Volume
112
Copyright
2004
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4757-3978-7
DOI
10.1007/978-1-4757-3978-7
Hardcover ISBN
978-0-387-21906-6
Softcover ISBN
978-1-4419-1951-9
Series ISSN
0066-5452
Edition Number
3
Number of Pages
XXII, 632
Topics