Year: 2019
Author: Fuzhong Cong, Jialin Hong, Rui Wu
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 385–395
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.385
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 385–395
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Poisson system near-invariant tori rapidly Newton iteration.