株式会社極東書店トップ ＞ 商品一覧 ＞ Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem. 1998 ed..
商品詳細
Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem. 1998 ed..
・ISBN 978-3-7643-5900-3 hard EUR 49.99
￥13,361.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
| 著者・編者 | Roussarie, Robert, |
|---|---|
| シリーズ | Modern Birkhaeuser Classics |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 1998 |
| ページ数 | 206 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-22717＞ |
解説
In a coherent, exhaustive and progressive way, this book presents the tools for studying local bifurcations of limit cycles in families of planar vector fields. A systematic introduction is given to such methods as division of an analytic family of functions in its ideal of coefficients, and asymptotic expansion of non-differentiable return maps and desingularisation. The exposition moves from classical analytic geometric methods applied to regular limit periodic sets to more recent tools for singular limit sets.
The methods can be applied to theoretical problems such as Hilbert's 16th problem, but also for the purpose of establishing bifurcation diagrams of specific families as well as explicit computations.
- - -
The book as a whole is a well-balanced exposition that can be recommended to all those who want to gain a thorough understanding and proficiency in the recently developed methods. The book, reflecting the current state of the art, can also be used for teaching special courses.
(Mathematical Reviews)