Elementary Stability And Bifurcation Theory

This substantially revised second edition teaches the bifurcation of asymptotic solutions to evolution problems governed by nonlinear differential equations. Written not just for mathematicians, it appeals to the widest audience of learners, including engineers, biologists, chemists, physicists and economists. For this reason, it uses only well-known methods of classical analysis at foundation level, while the applications and examples are specially chosen to be as varied as possible.

This second edition has been substantially revised. Its purpose is to teach the theory of bifurcation of asymptotic solutions of evolution problems governed by nonlinear differential equations. It is written not only for mathematicians, but for the broadest audience of potentially interested learners, including engineers, biologists, chemists, physicists and economists. For this reason, it uses only well-known methods of classical analysis at a foundation level. Applications and examples are stressed throughout, and these were chosen to be as varied as possible.

Booknews

(Advanced!) undergraduates and researchers with practical interest in the essentials and typical applications of bifurcation theory have for a decade been familiar with the first edition (1980) of this fine text. Drawing inspiration from Einstein's "everything should be made as simple as possible, but not simpler", the authors have undertaken simultaneously to simplify the treatment and to find room for discussion of some recent developments. Twelve chapters (many examples, many figures, no exercises) provide good coverage of the essentials of the asymptotics of (effectively) low-dimensional non- linear differential equations of evolution. Applications notable for their variety. Handsomely produced. (NW) Annotation c. Book News, Inc., Portland, OR (booknews.com)