New constructive methods for analysis of resonant systems
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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

New constructive methods for analysis of resonant systems

Pag. 69-77

Grebenikov Evgenii
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

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.

Cuvinte-cheie
perturbation theory,

Krylov–Bogolyubov method, asymp- totic solution.