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Normal Forms and Bifurcation of Planar Vector Fields

Normal Forms and Bifurcation of Planar Vector Fields

Paperback

General MathematicsGeometry

ISBN10: 0521102235
ISBN13: 9780521102230
Publisher: Cambridge
Published: Jan 8 2009
Pages: 484
Weight: 1.55
Height: 1.08 Width: 6.00 Depth: 9.00
Language: English
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.

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