Abstract
In this section, we give a complete proof for a special case of the “main” Theorem 2.3 in the dissipative context, namely where there are no normal coordinates (p = 0). We briefly discussed a further simplified situation in § 1.2.1 which concerned 2-tori and was based on circle maps. However, our proof is characteristic for all the other contexts mentioned throughout. For a similar proof in the Hamiltonian setting [the Hamiltonian isotropic (n,0,0) context], see Pöschel [278].
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© 1996 Springer-Verlag Berlin Heidelberg
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(1996). Appendices. In: Quasi-Periodic Motions in Families of Dynamical Systems. Lecture Notes in Mathematics, vol 1645. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49613-7_6
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DOI: https://doi.org/10.1007/978-3-540-49613-7_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-62025-9
Online ISBN: 978-3-540-49613-7
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