Symmetry and perturbation theory in nonlinear dynamics /
This book deals with the theory of Poincar--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 syste...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
1999.
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| Series: | Lecture notes in physics. Monographs ;
m57. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book deals with the theory of Poincar--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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xi, 208 pages) |
| Bibliography: | Includes bibliographical references (pages 193-208). |
| ISBN: | 9783540488743 (electronic bk.) 354048874X (electronic bk.) |
| ISSN: | 0940-7677 ; |