Description: Methods of Bifurcation Theory, Paperback by Chow, Shui-Nee; Hale, Jack K., ISBN 1461381614, ISBN-13 9781461381617, Like New Used, Free shipping in the US An alternative title for this book would perhaps be Nonlinear Analysis, Bifurcation Theory and Differential Equations. Our primary objective is to discuss those aspects of bifurcation theory which are particularly meaningful to differential equations. To accomplish this objective and to make th accessible to a wider we have presented in detail much of the relevant background audience, material from nonlinear functional analysis and the qualitative theory of differential equations. Since there is no good reference for some of the mate rial, its inclusion seemed necessary. Two distinct aspects of bifurcation theory are discussed-static and dynamic. Static bifurcation theory is concerned with the changes that occur in the structure of the set of zeros of a function as parameters in the function are varied. If the function is a gradient, then variational techniques play an important role and can be employed effectively even for global problems. If the function is not a gradient or if more detailed information is desired, the general theory is usually local. At the same time, the theory is constructive and valid when several independent parameters appear in the function. In differential equations, the equilibrium solutions are the zeros of the vector field. Therefore, methods in static bifurcation theory are directly applicable.
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Book Title: Methods of Bifurcation Theory
Number of Pages: Xv, 525 Pages
Language: English
Publication Name: Methods of Bifurcation Theory
Publisher: Springer New York
Publication Year: 2011
Subject: Mathematical Analysis
Type: Textbook
Item Weight: 28.9 Oz
Author: J. K. Hale, Shui-Nee Chow
Item Length: 9.3 in
Subject Area: Mathematics
Item Width: 6.1 in
Series: Grundlehren Der Mathematischen Wissenschaften Ser.
Format: Trade Paperback
