ENGLISH

Symmetry and Perturbation Theory in Nonlinear Dynamics

By Giampaolo Cicogna , Guiseppe Gaeta

Book information

Publisher
Springer
Year
1999
ISBN
9783540659044, 3540659048
ISSN
0940-7677
Open Library ID
OL9062969M
Language
english
Format
DJVU
Filesize
3 MB (3360139 bytes)
Series
Lecture notes in physics. Monographs m57
Edition
1
Pages
219\219
Library
mexmat
Time added
2009-07-20 03:45:11

Description

This book deals with the theory of Poincaré - Birkhoff normal forms, studying symmetric systems in particular. Attention is focused on general Lie point symmetries, and not just on symmetries acting linearly. Some results on the simultaneous normalization of a vector field describing a dynamical system and vector fields describing its symmetry are presented and perturbative approach is also used. Attention is given to the problem of convergence of the normalizing transformation in the presence of symmetry, with some other extensions of the theory. The results are discussed for the general case of dynamical systems and also for the specific Hamiltonian setting.

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