Format:
Online-Ressource
ISSN:
2169-0375
Content:
Abstract: In this paper we are mainly concerned with the persistence of invariant tori with prescribed frequency for analytic nearly integrable Hamiltonian systems under the Brjuno–Rüssmann non-resonant condition, when the Kolmogorov non-degeneracy condition is violated. As it is well known, the frequency of the persisting invariant tori may undergo some drifts, when the Kolmogorov non-degeneracy condition is violated. By the method of introducing external parameters and rational approximations, we prove that if the Brouwer topological degree of the frequency mapping is nonzero at some Brjuno–Rüssmann frequency, then the invariant torus with this frequency persists under small perturbation.
In:
volume:16
In:
number:4
In:
year:2016
In:
pages:719-735
In:
extent:17
In:
Advanced nonlinear studies, Berlin ; Boston : de Gruyter, 2001-, 16, Heft 4 (2016), 719-735 (gesamt 17), 2169-0375
Language:
English
DOI:
10.1515/ans-2015-5051
URN:
urn:nbn:de:101:1-2405031552422.146795051364
URL:
https://doi.org/10.1515/ans-2015-5051
URL:
https://nbn-resolving.org/urn:nbn:de:101:1-2405031552422.146795051364
URL:
https://d-nb.info/1328268454/34
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