@Article{CMR-25-1,
author = {Liu, Baifeng and Zhu, Wenzhuang and Xu, Leshun},
title = {A KAM-Type Theorem for Generalized Hamiltonian Systems},
journal = {Communications in Mathematical Research },
year = {2009},
volume = {25},
number = {1},
pages = {37--52},
abstract = {<p style="text-align: justify;">In this paper we mainly concern the persistence of lower-dimensional
invariant tori in generalized Hamiltonian systems. Here the generalized Hamiltonian
systems refer to the systems which may admit a distinct number of action and angle
variables. In particular, system under consideration can be odd dimensional. Under
the Rüssmann type non-degenerate condition, we proved that the majority of the
lower-dimension invariant tori of the integrable systems in generalized Hamiltonian
system are persistent under small perturbation. The surviving lower-dimensional tori
might be elliptic, hyperbolic, or of mixed type.</p>},
issn = {2707-8523},
doi = {https://doi.org/2009-CMR-19181},
url = {https://global-sci.com/article/81926/a-kam-type-theorem-for-generalized-hamiltonian-systems}
}