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Titlebook: Averaging Methods in Nonlinear Dynamical Systems; Jan A. Sanders,Ferdinand Verhulst,James Murdock Book 2007Latest edition Springer-Verlag

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期刊全稱Averaging Methods in Nonlinear Dynamical Systems
影響因子2023Jan A. Sanders,Ferdinand Verhulst,James Murdock
視頻videohttp://file.papertrans.cn/167/166957/166957.mp4
發(fā)行地址Well regarded earlier book, well known authors
學(xué)科分類Applied Mathematical Sciences
圖書封面Titlebook: Averaging Methods in Nonlinear Dynamical Systems;  Jan A. Sanders,Ferdinand Verhulst,James Murdock Book 2007Latest edition Springer-Verlag
影響因子.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 edition of the Averaging Methods in Nonlinear Dynamical Systems book. 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...Review of First Edition.."One of the most striking features of the book is the nice collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with profuse
Pindex Book 2007Latest edition
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https://doi.org/10.1007/978-3-642-48555-8 Moon in the case of the Earth, the interaction of large planets such as Jupiter and Saturn, the resistance of the ether and other effects. These considerations led to the formulation of perturbed two-body motion and, as exact solutions were clearly not available, the development of perturbation theory.
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0066-5452 ast decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chap
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https://doi.org/10.1007/978-3-642-48555-8simple case, but there we can usually solve the problem without any knowledge of invariant theory beyond the obvious. A good source for the background of some the mathematics we will be using in this chapter is [220].
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