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Moscow Mathematical Journal, 2003, Volume 3, Number 3, Pages 1039–1052
DOI: https://doi.org/10.17323/1609-4514-2003-3-3-1039-1052
(Mi mmj120)
 

This article is cited in 6 scientific papers (total in 6 papers)

On averaging in two-frequency systems with small Hamiltonian and much smaller non-Hamiltonian perturbations

A. I. Neishtadt

Space Research Institute, Russian Academy of Sciences
Full-text PDF Citations (6)
References:
Abstract: A system which differs from an integrable Hamiltonian system with two degrees of freedom by a small Hamiltonian perturbation and much a smaller non-Hamiltonian perturbation is considered. The unperturbed system is isoenergetically nondegenerate. The averaging method is used for an approximate description of solutions of the exact system on a time interval inversely proportional to the amplitude of the non-Hamiltonian perturbation. The error of this description (averaged over initial conditions) is estimated from above by a value proportional to the square root of the amplitude of the Hamiltonian perturbation.
Key words and phrases: Perturbation theory, averaging method.
Received: October 14, 2002; in revised form July 7, 2003
Bibliographic databases:
MSC: Primary 14P25, 57M25; Secondary 14H20, 53D99
Language: English
Citation: A. I. Neishtadt, “On averaging in two-frequency systems with small Hamiltonian and much smaller non-Hamiltonian perturbations”, Mosc. Math. J., 3:3 (2003), 1039–1052
Citation in format AMSBIB
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\by A.~I.~Neishtadt
\paper On averaging in two-frequency systems with small Hamiltonian and much smaller non-Hamiltonian perturbations
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\yr 2003
\vol 3
\issue 3
\pages 1039--1052
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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