Symmetry and Perturbation Theory in Nonlinear Dynamics (Lecture Notes in Physics Monographs)
1 edition
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Word Count
52,000 words, Guess
Page Count
208 pages
Physical Format
Hardcover
Identifiers
- Open LibraryOL9062969M
- ISBN-139783540659044
- ISBN-103540659048
- OCLC Control Number52402627
- OCLC Control Numbersymmetryperturba00cico
and 3 more
- Library of Congress Control Number99049856
- Goodreads1943035
- LibraryThing2349015
Classifications
- LCCQA614.8 .C554 1999
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 a 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.
Subjects
Topics
Other Editions
- Symmetry and Perturbation Theory in Nonlinear Dynamics (Lecture Notes in Physics Monographs)
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