| 书目名称 | Canard Cycles |
| 副标题 | From Birth to Transi |
| 编辑 | Peter De Maesschalck,Freddy Dumortier,Robert Rouss |
| 视频video | |
| 概述 | Provides a self-contained introduction to the study of families of slow-fast systems on surfaces.Contains a unified account of two decades of results on canard cycles.Presents essential techniques in |
| 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati |
| 图书封面 |  |
| 描述 | This book offers the first systematic account of canard cycles, an intriguing phenomenon in the study of ordinary differential equations. The canard cycles are treated in the general context of slow-fast families of two-dimensional vector fields.The central question of controlling the limit cycles is addressed in detail and strong results are presented with complete proofs..In particular, the book provides a detailed study of the structure of the transitions near the critical set of non-isolated singularities.This leads to precise results on the limit cycles and their bifurcations, including the so-called canard phenomenon and canard explosion. The book also provides a solid basis for the use of asymptotic techniques. It gives a clear understanding of notions like inner and outer solutions, describing their relation and precise structure..The first part of the book provides a thorough introduction to slow-fast systems, suitable for graduate students. The second and third parts will be of interest to both pure mathematicians working on theoretical questions such as Hilbert‘s 16th problem, as well as to a wide range of applied mathematicians looking for a detailed understanding of tw |
| 出版日期 | Book 2021 |
| 关键词 | Canard cycles; Slow-fast systems; limit cycles; vector field; relaxation oscillations; slow-fast bifurcat |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-79233-6 |
| isbn_softcover | 978-3-030-79235-0 |
| isbn_ebook | 978-3-030-79233-6Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
| issn_series | 0071-1136 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:26:36
