Rüdiger U. Seydel

Practical Bifurcation and Stability Analysis (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 477
• Erscheinungstermin: 27. November 2009
• Englisch
• ISBN-13: 9781441917409
• Artikelnr.: 37341866

Inhaltsangabe

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.

Rezensionen

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)