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Normal Forms and Bifurcation of Planar Vector Fields - Shui-Nee Chow

Normal Forms and Bifurcation of Planar Vector Fields

Hardcover Published: 29th September 2007
ISBN: 9780521372268
Number Of Pages: 484

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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.

Industry Reviews

"I cordially recommend the book to researchers new to this field." Henk Broer, Bulletin of the American Mathematical Society "This book is clearly written, replete with biographical notes, and careful in its rigor. It is a must for anyone interested in ordinary differential equations of bifurcation theory." Kennneth R. Meyer, SIAM Review "...The presentation in the book enters into fine detail and is rather complete..." Mathematical Reviews

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

ISBN: 9780521372268
ISBN-10: 0521372267
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 484
Published: 29th September 2007
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 3.18
Weight (kg): 0.88

Earn 701 Qantas Points
on this Book