Normal Forms and Bifurcation of Planar Vector Fields
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Normal Forms and Bifurcation of Planar Vector Fields by Shui-Nee Chow
Book DescriptionThis book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary. The theory has developed rapidly over the past two decades. Chapters 1 and 2 of the book introduce two systematic methods of simplifying equations: centre manifold theory and normal form theory, by which the dimension of equations may be reduced and the forms changed so that they are as simple as possible. Chapters 3-5 of the book study in considerable detail the bifurcation of those one- or two-dimensional equations with one, two or several parameters. This book is aimed at mathematicians and graduate students interested in dynamical systems, ordinary differential equations and/or bifurcation theory. The basic knowledge required by this book is advanced calculus, functional analysis and qualitative theory of ordinary differential equations.
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Book DetailsISBN: 9780521372268
(228mm x 152mm x 32mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 29-Jul-1994
Country of Publication: United Kingdom
Books By Author Shui-Nee Chow
Normal Forms and Bifurcation of Planar Vector Fields, Paperback (January 2009)» View all books by Shui-Nee Chow
This book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters of the model vary.
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