Normal Forms and Bifurcation of Planar Vector Fields (Paperback)

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. 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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Release date:	2009
First published:	October 2008
Authors:	Shui-Nee Chow • Chengzhi Li • Duo Wang
Dimensions:	229 x 152 x 27mm (L x W x T)
Format:	Paperback - Trade
Pages:	484
ISBN-13:	978-0-521-10223-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
LSN:	0-521-10223-5
Barcode:	9780521102230

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