TY - JOUR
T1 - Near-Invariant Tori on Exponentially Long Time for Poisson systems
AU - Cong , Fuzhong
AU - Hong , Jialin
AU - Wu , Rui
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 385
EP - 395
PY - 2021
DA - 2021/04
SN - 1
DO - http://doi.org/10.12150/jnma.2019.385
UR - https://global-sci.org/intro/article_detail/jnma/18850.html
KW - Poisson system, near-invariant tori, rapidly Newton iteration.
AB - <p style="text-align: justify;">This paper deals with the near-invariant tori for Poisson systems. It is shown that the orbits with the initial points near the Diophantine torus approach some quasi-periodic orbits over an extremely long time. In particular, the results hold for the classical Hamiltonian system, and in this case the drift of the motions is smaller than one in the past works.</p>