@Article{CMR-25-37,
author = {Liu , BaifengZhu , Wenzhuang and Xu , Leshun},
title = {A KAM-Type Theorem for Generalized Hamiltonian Systems},
journal = {Communications in Mathematical Research },
year = {2021},
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/},
url = {http://global-sci.org/intro/article_detail/cmr/19181.html}
}