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<図書>
Averaging methods in nonlinear dynamical systems

責任表示 J.A. Sanders, F. Verhulst, J. Murdock
シリーズ Applied mathematical sciences ; v. 59
データ種別 図書
2nd ed
出版者 New York : Springer
出版年 c2007
本文言語 英語
大きさ xxi, 431 p. : ill. ; 24 cm
概要 Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edi...ion of Averaging Methods in Nonlinear Dynamical Systems. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level) Normal Form Theory, Nilpotent (classical) Normal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are surveys on invariant manifolds in Appendix C and averaging for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock, has been added. Book jacket.続きを見る
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所蔵情報


理系図3F 数理独自 023212007002633 SAND/26/1 2007

書誌詳細

一般注記 Includes bibliographical references (p. [395]-411) and indexes
著者標目 *Sanders, J. A. (Jan A.)
Verhulst, Ferdinand, 1939-
Murdock, James A.
件 名 LCSH:Differential equations, Nonlinear -- Numerical solutions  全ての件名で検索
LCSH:Differentiable dynamical systems
LCSH:Averaging method (Differential equations)
NDLSH:非線型微分方程式
分 類 LCC:QA372
DC19:515.3/55
NDC8:413.65
書誌ID 1001242734
ISBN 9780387489162
NCID BA82599232
巻冊次 ISBN:9780387489162 ; XISBN:0382489169
登録日 2009.09.18
更新日 2017.02.18

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