Nonlinear Mechanics, Groups and Symmetry (Mathematics and Its Applications)

Mitropolsky, Yuri A. A.; Lopatin, A.K.

ISBN 10: 9048145171 / ISBN 13: 9789048145171

Published by Springer, 2010

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Bibliographic Details

• Title: Nonlinear Mechanics, Groups and Symmetry (Mathematics and Its Applications)
• Publisher: Springer
• Publication Date: 2010
• Language: English
• ISBN 10: 9048145171
• ISBN 13: 9789048145171
• Binding: Soft cover
• Condition: New

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Synopsis

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.