On Averaging in Two-frequency Systems with Small Hamiltonian and Much Smaller Non-hamiltonian Perturbations
نویسنده
چکیده
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. 2000 Math. Subj. Class. 70K65, 34C26.
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تاریخ انتشار 2004