Interdisciplinary Applied Mathematics

Practical Bifurcation and Stability Analysis

Authors: Seydel, Rüdiger

  • Practical, hands-on approach
  • Many examples and applications from science and engineering
  • Numerical approach
  • Non-technical approach, only calculus required as background
see more benefits

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4419-1740-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.95
price for USA
  • ISBN 978-1-4419-1739-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.95
price for USA
  • ISBN 978-1-4614-2530-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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

Reviews

From the reviews of the third 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

“Methods of practical bifurcation and stability analysis are crucial instruments in applied mathematics. This fact stimulated the author to publish an up-to-date third edition, sixteen years after appearing the second edition. … The references contain more than 600 items. The excellent presentation of the material will stimulate people in applied sciences to apply the well-prepared instruments.” (Klaus R. Schneider, Zentralblatt MATH, Vol. 1195, 2010)


Table of contents (9 chapters)

  • Introduction and Prerequisites

    Seydel, Rüdiger

    Pages 1-52

  • Basic Nonlinear Phenomena

    Seydel, Rüdiger

    Pages 53-115

  • Applications and Extensions

    Seydel, Rüdiger

    Pages 117-167

  • Principles of Continuation

    Seydel, Rüdiger

    Pages 169-198

  • Calculation of the Branching Behavior of Nonlinear Equations

    Seydel, Rüdiger

    Pages 199-261

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4419-1740-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.95
price for USA
  • ISBN 978-1-4419-1739-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.95
price for USA
  • ISBN 978-1-4614-2530-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Practical Bifurcation and Stability Analysis
Authors
Series Title
Interdisciplinary Applied Mathematics
Series Volume
5
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4419-1740-9
DOI
10.1007/978-1-4419-1740-9
Hardcover ISBN
978-1-4419-1739-3
Softcover ISBN
978-1-4614-2530-4
Series ISSN
0939-6047
Edition Number
3
Number of Pages
XV, 477
Number of Illustrations and Tables
200 b/w illustrations
Additional Information
Originally published by Elsevier Science Publishing Company, New York, 1988
Topics