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SM ISO690:2012 GREBENIKOV, Evgenii. New constructive methods for analysis of resonant systems. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 1(41), pp. 69-77. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1(41) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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Pag. 69-77 | ||||||
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The modern theory of perturbations, based on the Krylov–Bogolyubov
method [1], has two essential advantages: the determination of the iterations does
not require the preliminary solution of the generating equation and the choice of
the initial conditions, which for every approximation minimizes the difference ”exact
solution minus asymptotic solution”. The algorithm of constructing the perturbed
solution may be realized with computer algebra methods. |
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Cuvinte-cheie perturbation theory, Krylov–Bogolyubov method, asymp- totic solution. |
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