Symmetry and Perturbation Theory in Nonlinear Dynamics (Lecture Notes in Physics Monographs)
by Giampaolo Cicogna and Guiseppe Gaeta
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.
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| Edition | Availability |
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1
Symmetry and Perturbation Theory in Nonlinear Dynamics
2011, Springer Berlin / Heidelberg
in English
3642085180 9783642085185
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2
Symmetry and Perturbation Theory in Nonlinear Dynamics
2003, Springer London, Limited
in English
354048874X 9783540488743
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3
Symmetry and Perturbation Theory in Nonlinear Dynamics (Lecture Notes in Physics Monographs)
November 23, 1999, Springer
Hardcover
in English
- 1 edition
3540659048 9783540659044
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