Nonlinear Mechanics, Groups and Symmetry
By: by Yu. A. Mitropolsky, A. K. Lopatin
Contributors: Lopatin, A. K.
Series: Mathematics and Its Applications -- 319; Mathematics and Its Applications -- 319
Publisher: Springer Netherlands
Published: 1995
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 382
ISBN-13: 9789048145171; 9789401585354
Subjects: Differential Equations; Mathematics; Differential equations, partial; Topological Groups; Vibration
Description: 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.
Notes: Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.