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Volume 1, Issue 3
Near-Invariant Tori on Exponentially Long Time for Poisson systems

Fuzhong Cong, Jialin Hong & Rui Wu

DOI: 10.12150/jnma.2019.385

J. Nonl. Mod. Anal., 1 (2019), pp. 385-395.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

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

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COPYRIGHT: © Global Science Press

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@Article{JNMA-1-385, author = {Cong , FuzhongHong , Jialin and Wu , Rui}, title = {Near-Invariant Tori on Exponentially Long Time for Poisson systems}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {1}, number = {3}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.385}, url = {http://global-sci.org/intro/article_detail/jnma/18850.html} }
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 -

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.

Fuzhong Cong, Jialin Hong & Rui Wu. (1970). Near-Invariant Tori on Exponentially Long Time for Poisson systems. Journal of Nonlinear Modeling and Analysis. 1 (3). 385-395. doi:10.12150/jnma.2019.385
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