Probably the first book to describe computational methods for numerically computing steady state and Hopf bifurcations. Requiring only a basic knowledge of calculus, and using detailed examples, problems, and figures, this is an ideal textbook for graduate students.
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)
Contents: Preface.- Notation.- Introduction 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.- Appendices.- List of Major Examples.- References.- Index.
Series: Interdisciplinary Applied Mathematics
Number Of Pages: 477
Published: 14th December 2009
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.39 x 15.6
Weight (kg): 0.88
Edition Number: 3
Edition Type: Revised