Near-Invariant Tori on Exponentially Long Time for Poisson systems

Authors

  • Fuzhong Cong Office of Mathematics, Fundamental Department, Air Force Aviation University, Changchun, Jilin 130022, China 
  • Jialin Hong
  • Rui Wu

DOI:

https://doi.org/10.12150/jnma.2019.385

Keywords:

Poisson system, near-invariant tori, rapidly Newton iteration.

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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Published

2024-04-10

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Issue

Vol. 1 No. 3 (2019)

Section

Articles

How to Cite

Near-Invariant Tori on Exponentially Long Time for Poisson systems. (2024). Journal of Nonlinear Modeling and Analysis, 1(3), 385-395. https://doi.org/10.12150/jnma.2019.385