| 书目名称 | Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles | | 编辑 | Maoan Han,Pei Yu | | 视频video | | | 概述 | Intertwines classic topics with new results to provide extensive coverage of the area.An ample amount of worked out examples and user-friendly algorithms are supplied for both theory and application.I | | 丛书名称 | Applied Mathematical Sciences | | 图书封面 |  | | 描述 | .Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has been studied for more than half a century, and normal form theory for over 100 years, efficient computation in this area is still a challenge with implications for Hilbert’s 16th problem..This book introduces the most recent developments in this field and provides major advances in fundamental theory of limit cycles. Split into two parts, the first focuses on the study of limit cycles bifurcating from Hopf singularity using normal form theory with later application to Hilbert’s 16th problem, while the second considers near Hamiltonian systems using Melnikov function as the main mathematical tool. .Classic topics with new results are presented in a clear and concise manner and are accompanied by the liberal use of illustrations throughout. Containing a wealth of examples and structured algo | | 出版日期 | Book 2012 | | 关键词 | Hamiltonian systems; Hilbert’s 16th problem; Melnikov function; dynamical system theory; normal form; the | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4471-2918-9 | | isbn_softcover | 978-1-4471-5830-1 | | isbn_ebook | 978-1-4471-2918-9Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer-Verlag London Limited 2012 |
The information of publication is updating
书目名称Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles影响因子(影响力)
书目名称Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles影响因子(影响力)学科排名
书目名称Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles网络公开度
书目名称Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles网络公开度学科排名
书目名称Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles被引频次
书目名称Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles被引频次学科排名
书目名称Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles年度引用
书目名称Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles年度引用学科排名
书目名称Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles读者反馈
书目名称Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles读者反馈学科排名
|
|
|
发表于 2025-3-21 19:21:29
