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

About this title

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 Poincar�--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.

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