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9780521102230

Normal Forms and Bifurcation of Planar Vector Fields

by
  • ISBN13:

    9780521102230

  • ISBN10:

    0521102235

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2009-01-08
  • Publisher: Cambridge University Press

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Supplemental Materials

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Summary

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.

Table of Contents

Preface
Center manifolds
Normal forms
Codimension one bifurcations
Codimension two bifurcations
Bifurcations with codimension higher that two
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

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