Normal Forms and Bifurcation of Planar Vector Fields

Shui-Nee Chow

ISBN 10: 0521372267 / ISBN 13: 9780521372268

Published by Cambridge University Press, 1994

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9780521372268

Bibliographic Details

• Title: Normal Forms and Bifurcation of Planar Vector Fields
• Publisher: Cambridge University Press
• Publication Date: 1994
• Language: English
• ISBN 10: 0521372267
• ISBN 13: 9780521372268
• Binding: Buch
• Condition: Neu
• Dimensions: 235W x 157H x 33D millimeters 235 millimeters width by 157 millimeters height by 33 millimeters depth
• Weight: 930 grams

About this title

Synopsis

This book is mainly concerned with the bifurcation theory of ODEs. Chapters 1 and 2 of the book introduce two systematic methods of simplifying equations: center manifold theory and normal form theory, by which one may reduce the dimension of equations and change forms of equations to be 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.

Book Description

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.