This article is cited in 5 scientific papers (total in 5 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
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.
MSC: Primary 14P25, 57M25; Secondary 14H20, 53D99
Received: October 14, 2002; in revised form July 7, 2003
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
\paper On averaging in two-frequency systems with small Hamiltonian and much smaller non-Hamiltonian perturbations
\jour Mosc. Math.~J.
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