Geodesic
New constructive methods for analysis of resonant systems
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2003), pp. 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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E. A. Grebenikov. New constructive methods for analysis of resonant systems. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2003), pp. 69-77. https://geodesic-test.mathdoc.fr/item/BASM_2003_1_a6/

[1] Bogolyubov N. N., One Some Statistical Methods in Mathematical Physics, Ed. AN USSR, Kiev, 1945 (in Russian) | MR

[2] Grebenikov E. A., “Generators of New Iterative Methods for Nonlinear Equations with a Small Parameter”, Computational Mathematics and Mathematical Physics, 37:5 (1997), 545–551 | MR | Zbl

[3] Grebenikov E. A., Ryabov Yu. A., Constructive Methods in the Analysis of Nonlinear Systems, MIR, M., 1983, 384 pp. | MR | Zbl

[4] Grebenikov E. A., The Averaging Method in Practical Problems, Nauka, M., 1986, 250 pp. (in Russian) | MR

[5] Grebenikov E. A., Mytropolsky Yu. O., The Averaging Method in Resonant System Studies, Nauka, M., 1992, 286 pp. (in Russian)