Abstract
In the previous Chap. IV we have analyzed Poincaré-Dulac normal forms in the presence of nonlinear symmetries. In the present chapter, we show how this theory extends to the framework of Hamiltonian systems. Thus, we will be considering a Hamiltonian H which admits a symmetry S, and see how this symmetry property influences the Birkhoff-Gustavson normal form of H.
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© 1999 Springer-Verlag Berlin Heidelberg
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(1999). Normal Forms and Symmetries for Hamiltonian Systems. In: Symmetry and Perturbation Theory in Nonlinear Dynamics. Lecture Notes in Physics, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48874-X_6
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DOI: https://doi.org/10.1007/3-540-48874-X_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65904-4
Online ISBN: 978-3-540-48874-3
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