Normal Forms and Bifurcation of Planar Vector Fields - Couverture rigide

Chow, Shui-Nee; Li, Chengzhi; Wang, Duo

 
9780521372268: Normal Forms and Bifurcation of Planar Vector Fields
Couverture rigide
ISBN 10 : 0521372267 ISBN 13 : 9780521372268
Editeur : Cambridge University Press, 1994

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

"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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1994
Langue
anglais
ISBN 10 
0521372267
ISBN 13 
9780521372268
Reliure
Relié
Nombre de pages
484
Coordonnées du fabricant
Cambridge University Press
https://www.cambridge.org/

Via Honduras,15
Pomezia
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Autres éditions populaires du même titre

9780521102230: Normal Forms and Bifurcation of Planar Vector Fields

Edition présentée

ISBN 10 :  0521102235 ISBN 13 :  9780521102230
Editeur : Cambridge University Press, 2009
Couverture souple