Normal Forms and Bifurcation of Planar Vector Fields

ISBN-13: 9780521372268 / Angielski / Twarda / 1994 / 484 str.

Shui-Nee Chow; Chengzhi Li; Duo Wang

Opis

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.

Recenzje

"...The presentation in the book enters into fine detail and is rather complete..." Mathematical Reviews

Spis treści

Preface; 1. Center manifolds; 2. Normal forms; 3. Codimension one bifurcations; 4. Codimension two bifurcations; 5. Bifurcations with codimension higher that two; Bibliography; Index.