Practical Bifurcation and Stability Analysis

Rüdiger U. Seydel

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English

Springer-Verlag New York Inc.
14 December 2009

Cybernetics & systems theory; Number systems; Calculus & mathematical analysis; Numerical analysis; Mathematical physics; Maths for engineers

Series: Interdisciplinary Applied Mathematics

Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability Analysis was published. During that time period the ?eld of computational bifurcation has become mature. Today, bifurcation mec- nisms are widely accepted as decisive phenomena for explaining and - derstanding stability and structural change. Along with the high level of sophistication that bifurcation analysis has reached, the research on basic computational bifurcation algorithms is essentially completed, at least in - dinary di?erential equations. The focus has been shifting from mathematical foundations towards applications. The evolution from equilibrium to chaos has become commonplace and is no longer at the cutting edge of innovation. But the corresponding methods of practical bifurcation and stability analysis remain indispensable instruments in all applications of mathematics. This constant need for practical bifur- tion and stability analysis has stimulated an e?ort to maintain this book on a present-day level. The author’s endeavor has resulted in this third edition. It is based on more than three decades of practical experience with the subject, and on many courses given at several universities.

By: Rüdiger U. Seydel
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States
Edition: 3rd ed. 2010
Volume: 5
Dimensions: Height: 235mm, Width: 155mm, Spine: 26mm
Weight: 1.940kg
ISBN: 9781441917393
ISBN 10: 144191739X
Series: Interdisciplinary Applied Mathematics
Pages: 477
Publication Date: 14 December 2009
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

and Prerequisites.- Basic Nonlinear Phenomena.- Applications and Extensions.- Principles of Continuation.- Calculation of the Branching Behavior of Nonlinear Equations.- Calculating Branching Behavior of Boundary-Value Problems.- Stability of Periodic Solutions.- Qualitative Instruments.- Chaos.

Reviews for Practical Bifurcation and Stability Analysis

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)