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Normal Forms and Bifurcation of Planar Vector Fields.
・ISBN 978-0-521-37226-8 hard GB£ 147.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-66563-9
| 著者・編者 | Chow, Shui-Nee / Li, Chengzhi / Wang, Duo, |
|---|---|
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 1994 |
| ページ数 | 484 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-8718＞ |
解説
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.