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Nonlinear Mechanics, Groups and Symmetry
Yuri A. MitropolskyA.K. Lopatin
出版Springer Science & Business Media, 2013-03-09
主題Mathematics / Differential Equations / GeneralMathematics / Group TheoryMathematics / AppliedTechnology & Engineering / MechanicalMathematics / Mathematical AnalysisScience / Mechanics / Dynamics
ISBN94015853509789401585354
URLhttp://books.google.com.hk/books?id=MXroCAAAQBAJ&hl=&source=gbs_api
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註釋This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Various assumptions about specific group properties are investigated, and are shown to lead to modifications of existing methods, such as the Bogoliubov averaging method and the Poincaré--Birkhoff normal form, as well as to the formulation of new ones. The development of normalization techniques of Lie groups is also treated. The wealth of examples demonstrates how these new group theoretical techniques can be applied to analyze specific problems. This book will be of interest to researchers and graduate students in the field of pure and applied mathematics, mechanics, physics, engineering, and biosciences.