Near-Invariant Tori on Exponentially Long Time for Poisson systems

Near-Invariant Tori on Exponentially Long Time for Poisson systems

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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

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.

Author Details

Fuzhong Cong

Jialin Hong

Rui Wu